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Finding the Fourth Proportional to 13,711.68, 20,539.98 and 6,305.85

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Solution

The fourth proportional to 13,711.68, 20,539.98 and 6,305.85 is: 9,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.68 : 20,539.98 = 6,305.85 : x
  2. Step 2: Convert to fraction form
    13,711.68/20,539.98 = 6,305.85/x
  3. Step 3: Cross multiply
    13,711.68x = 20,539.98 × 6,305.85
  4. Step 4: Simplify right side
    13,711.68x = 129,522,032.88
  5. Step 5: Solve for x
    x = 129,522,032.88/13,711.68
  6. Step 6: Final answer
    x = 9,446.11

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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.