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    The fourth proportion to 12, 24 and 27 is the same as the third proportion to A and 36.What is the value of A?
    Question

    The fourth proportion to 12, 24 and 27 is the same as the third proportion to A and 36.What is the value of A?

    A.

    22

    B.

    24

    C.

    26

    D.

    20

    Correct option is B

    Given:
    Fourth proportion to 12, 24, and 27 is the same as the third proportion to A and 36.
    Formula Used:
    Fourth Proportion Formula: If a, b, and c are given, the fourth proportion x is found using the formula:
    ab=cx\frac{a}{b} = \frac{c}{x}​​
    Solving for x:
    x=b×cax = \frac{b \times c}{a}​​
    Third Proportion Formula: If a and b are given, the third proportion x is found using the formula:
    ab=bx\frac{a}{b} = \frac{b}{x}​​
    Solving for x:
    x=b2ax = \frac{b^2}{a}​​
    Solution:  
    For fourth proportion:
    For third proportion
    Now, 

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