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Finding the Fourth Proportional to 13,453.92, 20,180.90 and 6,432.29

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Solution

The fourth proportional to 13,453.92, 20,180.90 and 6,432.29 is: 9,648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.92 : 20,180.90 = 6,432.29 : x
  2. Step 2: Convert to fraction form
    13,453.92/20,180.90 = 6,432.29/x
  3. Step 3: Cross multiply
    13,453.92x = 20,180.90 × 6,432.29
  4. Step 4: Simplify right side
    13,453.92x = 129,809,354.28
  5. Step 5: Solve for x
    x = 129,809,354.28/13,453.92
  6. Step 6: Final answer
    x = 9,648.44

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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.