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Finding the Fourth Proportional to 23,861.78, 32,929.17 and 13,251.38

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Solution

The fourth proportional to 23,861.78, 32,929.17 and 13,251.38 is: 18,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,861.78 : 32,929.17 = 13,251.38 : x
  2. Step 2: Convert to fraction form
    23,861.78/32,929.17 = 13,251.38/x
  3. Step 3: Cross multiply
    23,861.78x = 32,929.17 × 13,251.38
  4. Step 4: Simplify right side
    23,861.78x = 436,356,780.11
  5. Step 5: Solve for x
    x = 436,356,780.11/23,861.78
  6. Step 6: Final answer
    x = 18,286.85

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Why These Related Problems?

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