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Finding the Fourth Proportional to 22,901.20, 34,351.80 and 8,105.20

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Solution

The fourth proportional to 22,901.20, 34,351.80 and 8,105.20 is: 12,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,901.20 : 34,351.80 = 8,105.20 : x
  2. Step 2: Convert to fraction form
    22,901.20/34,351.80 = 8,105.20/x
  3. Step 3: Cross multiply
    22,901.20x = 34,351.80 × 8,105.20
  4. Step 4: Simplify right side
    22,901.20x = 278,428,209.36
  5. Step 5: Solve for x
    x = 278,428,209.36/22,901.20
  6. Step 6: Final answer
    x = 12,157.80

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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.