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Finding the Fourth Proportional to 20,142.30, 30,213.45 and 15,471.30

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Solution

The fourth proportional to 20,142.30, 30,213.45 and 15,471.30 is: 23,206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.30 : 30,213.45 = 15,471.30 : x
  2. Step 2: Convert to fraction form
    20,142.30/30,213.45 = 15,471.30/x
  3. Step 3: Cross multiply
    20,142.30x = 30,213.45 × 15,471.30
  4. Step 4: Simplify right side
    20,142.30x = 467,441,348.99
  5. Step 5: Solve for x
    x = 467,441,348.99/20,142.30
  6. Step 6: Final answer
    x = 23,206.95

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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.