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Finding the Fourth Proportional to 19,687.87, 29,498.92 and 13,834

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Solution

The fourth proportional to 19,687.87, 29,498.92 and 13,834 is: 20,727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687.87 : 29,498.92 = 13,834 : x
  2. Step 2: Convert to fraction form
    19,687.87/29,498.92 = 13,834/x
  3. Step 3: Cross multiply
    19,687.87x = 29,498.92 × 13,834
  4. Step 4: Simplify right side
    19,687.87x = 408,088,059.28
  5. Step 5: Solve for x
    x = 408,088,059.28/19,687.87
  6. Step 6: Final answer
    x = 20,727.89

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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.