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Finding the Fourth Proportional to 24,876.25, 34,318.32 and 16,367.42

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Solution

The fourth proportional to 24,876.25, 34,318.32 and 16,367.42 is: 22,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,876.25 : 34,318.32 = 16,367.42 : x
  2. Step 2: Convert to fraction form
    24,876.25/34,318.32 = 16,367.42/x
  3. Step 3: Cross multiply
    24,876.25x = 34,318.32 × 16,367.42
  4. Step 4: Simplify right side
    24,876.25x = 561,702,357.13
  5. Step 5: Solve for x
    x = 561,702,357.13/24,876.25
  6. Step 6: Final answer
    x = 22,579.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.