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Finding the Fourth Proportional to 13,471.31, 20,215.17 and 5,680.13

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Solution

The fourth proportional to 13,471.31, 20,215.17 and 5,680.13 is: 8,523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.31 : 20,215.17 = 5,680.13 : x
  2. Step 2: Convert to fraction form
    13,471.31/20,215.17 = 5,680.13/x
  3. Step 3: Cross multiply
    13,471.31x = 20,215.17 × 5,680.13
  4. Step 4: Simplify right side
    13,471.31x = 114,824,692.50
  5. Step 5: Solve for x
    x = 114,824,692.50/13,471.31
  6. Step 6: Final answer
    x = 8,523.65

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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.