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Finding the Fourth Proportional to 22,930.47, 34,399.12 and 8,138.15

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Solution

The fourth proportional to 22,930.47, 34,399.12 and 8,138.15 is: 12,208.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,930.47 : 34,399.12 = 8,138.15 : x
  2. Step 2: Convert to fraction form
    22,930.47/34,399.12 = 8,138.15/x
  3. Step 3: Cross multiply
    22,930.47x = 34,399.12 × 8,138.15
  4. Step 4: Simplify right side
    22,930.47x = 279,945,042.15
  5. Step 5: Solve for x
    x = 279,945,042.15/22,930.47
  6. Step 6: Final answer
    x = 12,208.43

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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.