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Finding the Fourth Proportional to 27,702.76, 38,229.90 and 15,127.76

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Solution

The fourth proportional to 27,702.76, 38,229.90 and 15,127.76 is: 20,876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702.76 : 38,229.90 = 15,127.76 : x
  2. Step 2: Convert to fraction form
    27,702.76/38,229.90 = 15,127.76/x
  3. Step 3: Cross multiply
    27,702.76x = 38,229.90 × 15,127.76
  4. Step 4: Simplify right side
    27,702.76x = 578,332,752.02
  5. Step 5: Solve for x
    x = 578,332,752.02/27,702.76
  6. Step 6: Final answer
    x = 20,876.36

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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.