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Finding the Fourth Proportional to 24,538.52, 33,864.20 and 13,929.14

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Solution

The fourth proportional to 24,538.52, 33,864.20 and 13,929.14 is: 19,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.52 : 33,864.20 = 13,929.14 : x
  2. Step 2: Convert to fraction form
    24,538.52/33,864.20 = 13,929.14/x
  3. Step 3: Cross multiply
    24,538.52x = 33,864.20 × 13,929.14
  4. Step 4: Simplify right side
    24,538.52x = 471,699,182.79
  5. Step 5: Solve for x
    x = 471,699,182.79/24,538.52
  6. Step 6: Final answer
    x = 19,222.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.