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Finding the Fourth Proportional to 19,654.43, 29,477.12 and 5,614.16

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Solution

The fourth proportional to 19,654.43, 29,477.12 and 5,614.16 is: 8,419.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654.43 : 29,477.12 = 5,614.16 : x
  2. Step 2: Convert to fraction form
    19,654.43/29,477.12 = 5,614.16/x
  3. Step 3: Cross multiply
    19,654.43x = 29,477.12 × 5,614.16
  4. Step 4: Simplify right side
    19,654.43x = 165,489,092.56
  5. Step 5: Solve for x
    x = 165,489,092.56/19,654.43
  6. Step 6: Final answer
    x = 8,419.94

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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.