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Finding the Fourth Proportional to 19,472.13, 29,164.41 and 13,654.71

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Solution

The fourth proportional to 19,472.13, 29,164.41 and 13,654.71 is: 20,451.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,472.13 : 29,164.41 = 13,654.71 : x
  2. Step 2: Convert to fraction form
    19,472.13/29,164.41 = 13,654.71/x
  3. Step 3: Cross multiply
    19,472.13x = 29,164.41 × 13,654.71
  4. Step 4: Simplify right side
    19,472.13x = 398,231,560.87
  5. Step 5: Solve for x
    x = 398,231,560.87/19,472.13
  6. Step 6: Final answer
    x = 20,451.36

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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.