What number should be added to make 5, 9, 17, 24 in proportion?
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Answer 24should be added to make in proportion
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Answer:
Let the number be = x
The numbers become = 5 + x, 9 + x, 17 + x, 24 + x
If these are in proportion, then:
(5 + x)/(9 + x) = (17 + x)/(24 + x)
=> (5 + x)(24 + x) = (17 + x)(9 + x)
=> 120 + 5x + 24x + x^2 = 153 + 17x + 9x + x^2
=> 120 + 29x = 153 + 26x
=> 3x = 33
=> x = 11
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