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Finding the Fourth Proportional to 24,653.97, 36,997.43 and 9,071.60

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Solution

The fourth proportional to 24,653.97, 36,997.43 and 9,071.60 is: 13,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,653.97 : 36,997.43 = 9,071.60 : x
  2. Step 2: Convert to fraction form
    24,653.97/36,997.43 = 9,071.60/x
  3. Step 3: Cross multiply
    24,653.97x = 36,997.43 × 9,071.60
  4. Step 4: Simplify right side
    24,653.97x = 335,625,655.64
  5. Step 5: Solve for x
    x = 335,625,655.64/24,653.97
  6. Step 6: Final answer
    x = 13,613.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.