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Finding the Fourth Proportional to 23,488.80, 32,414.79 and 13,418.58

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Solution

The fourth proportional to 23,488.80, 32,414.79 and 13,418.58 is: 18,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,488.80 : 32,414.79 = 13,418.58 : x
  2. Step 2: Convert to fraction form
    23,488.80/32,414.79 = 13,418.58/x
  3. Step 3: Cross multiply
    23,488.80x = 32,414.79 × 13,418.58
  4. Step 4: Simplify right side
    23,488.80x = 434,960,452.80
  5. Step 5: Solve for x
    x = 434,960,452.80/23,488.80
  6. Step 6: Final answer
    x = 18,517.78

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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.