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Finding the Fourth Proportional to 27,702.95, 38,229.59 and 15,766.04

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Solution

The fourth proportional to 27,702.95, 38,229.59 and 15,766.04 is: 21,756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702.95 : 38,229.59 = 15,766.04 : x
  2. Step 2: Convert to fraction form
    27,702.95/38,229.59 = 15,766.04/x
  3. Step 3: Cross multiply
    27,702.95x = 38,229.59 × 15,766.04
  4. Step 4: Simplify right side
    27,702.95x = 602,729,166.29
  5. Step 5: Solve for x
    x = 602,729,166.29/27,702.95
  6. Step 6: Final answer
    x = 21,756.86

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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.