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Finding the Fourth Proportional to 13,909.92, 20,864.94 and 4,049.24

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Solution

The fourth proportional to 13,909.92, 20,864.94 and 4,049.24 is: 6,073.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.92 : 20,864.94 = 4,049.24 : x
  2. Step 2: Convert to fraction form
    13,909.92/20,864.94 = 4,049.24/x
  3. Step 3: Cross multiply
    13,909.92x = 20,864.94 × 4,049.24
  4. Step 4: Simplify right side
    13,909.92x = 84,487,149.65
  5. Step 5: Solve for x
    x = 84,487,149.65/13,909.92
  6. Step 6: Final answer
    x = 6,073.88

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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.