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Finding the Fourth Proportional to 13,791.62, 20,694.26 and 5,471.44

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Solution

The fourth proportional to 13,791.62, 20,694.26 and 5,471.44 is: 8,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,791.62 : 20,694.26 = 5,471.44 : x
  2. Step 2: Convert to fraction form
    13,791.62/20,694.26 = 5,471.44/x
  3. Step 3: Cross multiply
    13,791.62x = 20,694.26 × 5,471.44
  4. Step 4: Simplify right side
    13,791.62x = 113,227,363.88
  5. Step 5: Solve for x
    x = 113,227,363.88/13,791.62
  6. Step 6: Final answer
    x = 8,209.87

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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.