The total length of the cables on 14 identical cranes will be 1255.333.... yards.
Explanation
A cable on a crane measures 89 yards 2 feet.
We know that, 3 feet = 1 yard
So, 2 feet = [tex]\frac{2}{3}[/tex] yards
That means the length of the cable in each crane is [tex]89\frac{2}{3} = \frac{269}{3}[/tex] yards.
Now for finding the total length of the cables on 14 identical cranes, we will just multiply the length of each cable by 14.
So, [tex]\frac{269}{3}*14 = \frac{3766}{3}= 1255.333.....[/tex]
Thus, the total length of the cables on 14 identical cranes will be 1255.333.... yards.