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Finding the Fourth Proportional to 13,500.70, 20,251.17 and 4,140.70

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Solution

The fourth proportional to 13,500.70, 20,251.17 and 4,140.70 is: 6,211.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500.70 : 20,251.17 = 4,140.70 : x
  2. Step 2: Convert to fraction form
    13,500.70/20,251.17 = 4,140.70/x
  3. Step 3: Cross multiply
    13,500.70x = 20,251.17 × 4,140.70
  4. Step 4: Simplify right side
    13,500.70x = 83,854,019.62
  5. Step 5: Solve for x
    x = 83,854,019.62/13,500.70
  6. Step 6: Final answer
    x = 6,211.09

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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.