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Finding the Fourth Proportional to 13,819.26, 20,711.54 and 5,912.49

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Solution

The fourth proportional to 13,819.26, 20,711.54 and 5,912.49 is: 8,861.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.26 : 20,711.54 = 5,912.49 : x
  2. Step 2: Convert to fraction form
    13,819.26/20,711.54 = 5,912.49/x
  3. Step 3: Cross multiply
    13,819.26x = 20,711.54 × 5,912.49
  4. Step 4: Simplify right side
    13,819.26x = 122,456,773.13
  5. Step 5: Solve for x
    x = 122,456,773.13/13,819.26
  6. Step 6: Final answer
    x = 8,861.31

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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.