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Finding the Fourth Proportional to 13,917.28, 20,884.11 and 5,158.30

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Solution

The fourth proportional to 13,917.28, 20,884.11 and 5,158.30 is: 7,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.28 : 20,884.11 = 5,158.30 : x
  2. Step 2: Convert to fraction form
    13,917.28/20,884.11 = 5,158.30/x
  3. Step 3: Cross multiply
    13,917.28x = 20,884.11 × 5,158.30
  4. Step 4: Simplify right side
    13,917.28x = 107,726,504.61
  5. Step 5: Solve for x
    x = 107,726,504.61/13,917.28
  6. Step 6: Final answer
    x = 7,740.49

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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.