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Finding the Fourth Proportional to 20,082.46, 30,142.39 and 10,229.15

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Solution

The fourth proportional to 20,082.46, 30,142.39 and 10,229.15 is: 15,353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.46 : 30,142.39 = 10,229.15 : x
  2. Step 2: Convert to fraction form
    20,082.46/30,142.39 = 10,229.15/x
  3. Step 3: Cross multiply
    20,082.46x = 30,142.39 × 10,229.15
  4. Step 4: Simplify right side
    20,082.46x = 308,331,028.67
  5. Step 5: Solve for x
    x = 308,331,028.67/20,082.46
  6. Step 6: Final answer
    x = 15,353.25

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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.