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Finding the Fourth Proportional to 20,251.71, 30,376.22 and 9,729.27

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Solution

The fourth proportional to 20,251.71, 30,376.22 and 9,729.27 is: 14,593.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,251.71 : 30,376.22 = 9,729.27 : x
  2. Step 2: Convert to fraction form
    20,251.71/30,376.22 = 9,729.27/x
  3. Step 3: Cross multiply
    20,251.71x = 30,376.22 × 9,729.27
  4. Step 4: Simplify right side
    20,251.71x = 295,538,397.31
  5. Step 5: Solve for x
    x = 295,538,397.31/20,251.71
  6. Step 6: Final answer
    x = 14,593.26

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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.