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Finding the Fourth Proportional to 13,519.89, 20,251.08 and 6,489.54

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Solution

The fourth proportional to 13,519.89, 20,251.08 and 6,489.54 is: 9,720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,519.89 : 20,251.08 = 6,489.54 : x
  2. Step 2: Convert to fraction form
    13,519.89/20,251.08 = 6,489.54/x
  3. Step 3: Cross multiply
    13,519.89x = 20,251.08 × 6,489.54
  4. Step 4: Simplify right side
    13,519.89x = 131,420,193.70
  5. Step 5: Solve for x
    x = 131,420,193.70/13,519.89
  6. Step 6: Final answer
    x = 9,720.51

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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.