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Finding the Fourth Proportional to 20,092.28, 30,132.27 and 13,892.14

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Solution

The fourth proportional to 20,092.28, 30,132.27 and 13,892.14 is: 20,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,092.28 : 30,132.27 = 13,892.14 : x
  2. Step 2: Convert to fraction form
    20,092.28/30,132.27 = 13,892.14/x
  3. Step 3: Cross multiply
    20,092.28x = 30,132.27 × 13,892.14
  4. Step 4: Simplify right side
    20,092.28x = 418,601,527.97
  5. Step 5: Solve for x
    x = 418,601,527.97/20,092.28
  6. Step 6: Final answer
    x = 20,833.95

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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.