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Finding the Fourth Proportional to 22,930.80, 34,388.10 and 8,140.20

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Solution

The fourth proportional to 22,930.80, 34,388.10 and 8,140.20 is: 12,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,930.80 : 34,388.10 = 8,140.20 : x
  2. Step 2: Convert to fraction form
    22,930.80/34,388.10 = 8,140.20/x
  3. Step 3: Cross multiply
    22,930.80x = 34,388.10 × 8,140.20
  4. Step 4: Simplify right side
    22,930.80x = 279,926,011.62
  5. Step 5: Solve for x
    x = 279,926,011.62/22,930.80
  6. Step 6: Final answer
    x = 12,207.42

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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.