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Finding the Fourth Proportional to 27,584.43, 38,069.31 and 16,257.43

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Solution

The fourth proportional to 27,584.43, 38,069.31 and 16,257.43 is: 22,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584.43 : 38,069.31 = 16,257.43 : x
  2. Step 2: Convert to fraction form
    27,584.43/38,069.31 = 16,257.43/x
  3. Step 3: Cross multiply
    27,584.43x = 38,069.31 × 16,257.43
  4. Step 4: Simplify right side
    27,584.43x = 618,909,142.47
  5. Step 5: Solve for x
    x = 618,909,142.47/27,584.43
  6. Step 6: Final answer
    x = 22,436.90

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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.