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Finding the Fourth Proportional to 23,142.02, 34,711.87 and 8,149.88

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Solution

The fourth proportional to 23,142.02, 34,711.87 and 8,149.88 is: 12,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.02 : 34,711.87 = 8,149.88 : x
  2. Step 2: Convert to fraction form
    23,142.02/34,711.87 = 8,149.88/x
  3. Step 3: Cross multiply
    23,142.02x = 34,711.87 × 8,149.88
  4. Step 4: Simplify right side
    23,142.02x = 282,897,401.52
  5. Step 5: Solve for x
    x = 282,897,401.52/23,142.02
  6. Step 6: Final answer
    x = 12,224.41

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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.