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Finding the Fourth Proportional to 13,665.38, 20,493.49 and 5,229.92

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Solution

The fourth proportional to 13,665.38, 20,493.49 and 5,229.92 is: 7,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.38 : 20,493.49 = 5,229.92 : x
  2. Step 2: Convert to fraction form
    13,665.38/20,493.49 = 5,229.92/x
  3. Step 3: Cross multiply
    13,665.38x = 20,493.49 × 5,229.92
  4. Step 4: Simplify right side
    13,665.38x = 107,179,274.53
  5. Step 5: Solve for x
    x = 107,179,274.53/13,665.38
  6. Step 6: Final answer
    x = 7,843.13

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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.