It is given that
\[\mathbf{2}:\text{ }\mathbf{3},\text{ }\mathbf{17}:\text{ }\mathbf{21},\text{ }\mathbf{11}:\text{ }\mathbf{14}\text{ }\mathbf{and}\text{ }\mathbf{5}:\text{ }\mathbf{7}\]
We can write it in fractions as
\[2/3,\text{ }17/21,\text{ }11/14,\text{ }5/7\]
Here the LCM of \[3,\text{ }21,\text{ }14\text{ }and\text{ }7\text{ }is\text{ }42\]
By converting the ratio as equivalent
\[\begin{array}{*{35}{l}}
2/3\text{ }=\text{ }\left( 2\text{ }\times \text{ }14 \right)/\text{ }\left( 3\text{ }\times \text{ }14 \right)\text{ }=\text{ }28/42 \\
17/21\text{ }=\text{ }\left( 17\text{ }\times \text{ }2 \right)/\text{ }\left( 21\text{ }\times \text{ }2 \right)\text{ }=\text{ }34/\text{ }42 \\
11/14\text{ }=\text{ }\left( 11\text{ }\times \text{ }3 \right)/\text{ }\left( 14\text{ }\times \text{ }3 \right)\text{ }=\text{ }33/42 \\
5/7\text{ }=\text{ }\left( 5\text{ }\times \text{ }6 \right)/\text{ }\left( 7\text{ }\times \text{ }6 \right)\text{ }=\text{ }30/42 \\
\end{array}\]
Now writing it in ascending order
\[28/42,\text{ }30/42,\text{ }33/42,\text{ }34/42\]
By further simplification
\[2/3,\text{ }5/7,\text{ }11/14,\text{ }17/21\]
So we get
\[2:\text{ }3,\text{ }5:\text{ }7,\text{ }11:\text{ }14\text{ }and\text{ }17:\text{ }21\]