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If 9 : 12 : : 12 : k, then find the value of k + 1.
Question

If 9 : 12 : : 12 : k, then find the value of k + 1.

A.

18

B.

17

C.

15

D.

16

Correct option is B

Given:

Proportion: 9 : 12 :: 12 : k

Concept Used:

In a proportion ab=cd\frac{a}{b} = \frac{c}{d}​, cross multiplication gives:

a × d = b × c

Solution: 

9 : 12 :: 12 : k 

912=12k\frac9{12} =\frac{12}k​​

9×k=12×129 \times k = 12 \times 12​​

9k = 144

k = 1449\frac{144}{9}​ = 16

So,

k + 1 = 16 + 1 = 17

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