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Finding the Fourth Proportional to 22,843.17, 34,264.62 and 8,614.31

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Solution

The fourth proportional to 22,843.17, 34,264.62 and 8,614.31 is: 12,921.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,843.17 : 34,264.62 = 8,614.31 : x
  2. Step 2: Convert to fraction form
    22,843.17/34,264.62 = 8,614.31/x
  3. Step 3: Cross multiply
    22,843.17x = 34,264.62 × 8,614.31
  4. Step 4: Simplify right side
    22,843.17x = 295,165,887.39
  5. Step 5: Solve for x
    x = 295,165,887.39/22,843.17
  6. Step 6: Final answer
    x = 12,921.41

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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.