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Finding the Fourth Proportional to 20,961.96, 31,452.24 and 8,490.90

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Solution

The fourth proportional to 20,961.96, 31,452.24 and 8,490.90 is: 12,740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,961.96 : 31,452.24 = 8,490.90 : x
  2. Step 2: Convert to fraction form
    20,961.96/31,452.24 = 8,490.90/x
  3. Step 3: Cross multiply
    20,961.96x = 31,452.24 × 8,490.90
  4. Step 4: Simplify right side
    20,961.96x = 267,057,824.62
  5. Step 5: Solve for x
    x = 267,057,824.62/20,961.96
  6. Step 6: Final answer
    x = 12,740.12

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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.