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Finding the Fourth Proportional to 13,753.68, 20,630.16 and 3,892.86

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Solution

The fourth proportional to 13,753.68, 20,630.16 and 3,892.86 is: 5,839.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.68 : 20,630.16 = 3,892.86 : x
  2. Step 2: Convert to fraction form
    13,753.68/20,630.16 = 3,892.86/x
  3. Step 3: Cross multiply
    13,753.68x = 20,630.16 × 3,892.86
  4. Step 4: Simplify right side
    13,753.68x = 80,310,324.66
  5. Step 5: Solve for x
    x = 80,310,324.66/13,753.68
  6. Step 6: Final answer
    x = 5,839.19

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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.