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Finding the Fourth Proportional to 22,636.83, 33,924.49 and 8,589.31

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Solution

The fourth proportional to 22,636.83, 33,924.49 and 8,589.31 is: 12,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,636.83 : 33,924.49 = 8,589.31 : x
  2. Step 2: Convert to fraction form
    22,636.83/33,924.49 = 8,589.31/x
  3. Step 3: Cross multiply
    22,636.83x = 33,924.49 × 8,589.31
  4. Step 4: Simplify right side
    22,636.83x = 291,387,854.92
  5. Step 5: Solve for x
    x = 291,387,854.92/22,636.83
  6. Step 6: Final answer
    x = 12,872.29

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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.