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Finding the Fourth Proportional to 21,380.71, 32,077.98 and 10,285.96

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Solution

The fourth proportional to 21,380.71, 32,077.98 and 10,285.96 is: 15,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,380.71 : 32,077.98 = 10,285.96 : x
  2. Step 2: Convert to fraction form
    21,380.71/32,077.98 = 10,285.96/x
  3. Step 3: Cross multiply
    21,380.71x = 32,077.98 × 10,285.96
  4. Step 4: Simplify right side
    21,380.71x = 329,952,819.16
  5. Step 5: Solve for x
    x = 329,952,819.16/21,380.71
  6. Step 6: Final answer
    x = 15,432.27

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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.