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Finding the Fourth Proportional to 20,997.60, 31,472.10 and 8,511.45

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Solution

The fourth proportional to 20,997.60, 31,472.10 and 8,511.45 is: 12,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,997.60 : 31,472.10 = 8,511.45 : x
  2. Step 2: Convert to fraction form
    20,997.60/31,472.10 = 8,511.45/x
  3. Step 3: Cross multiply
    20,997.60x = 31,472.10 × 8,511.45
  4. Step 4: Simplify right side
    20,997.60x = 267,873,205.55
  5. Step 5: Solve for x
    x = 267,873,205.55/20,997.60
  6. Step 6: Final answer
    x = 12,757.32

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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.