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Finding the Fourth Proportional to 27,584.83, 38,069.86 and 16,257.97

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Solution

The fourth proportional to 27,584.83, 38,069.86 and 16,257.97 is: 22,437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584.83 : 38,069.86 = 16,257.97 : x
  2. Step 2: Convert to fraction form
    27,584.83/38,069.86 = 16,257.97/x
  3. Step 3: Cross multiply
    27,584.83x = 38,069.86 × 16,257.97
  4. Step 4: Simplify right side
    27,584.83x = 618,938,641.78
  5. Step 5: Solve for x
    x = 618,938,641.78/27,584.83
  6. Step 6: Final answer
    x = 22,437.65

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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.