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Finding the Fourth Proportional to 27,757.50, 38,305.35 and 15,182.25

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Solution

The fourth proportional to 27,757.50, 38,305.35 and 15,182.25 is: 20,951.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,757.50 : 38,305.35 = 15,182.25 : x
  2. Step 2: Convert to fraction form
    27,757.50/38,305.35 = 15,182.25/x
  3. Step 3: Cross multiply
    27,757.50x = 38,305.35 × 15,182.25
  4. Step 4: Simplify right side
    27,757.50x = 581,561,400.04
  5. Step 5: Solve for x
    x = 581,561,400.04/27,757.50
  6. Step 6: Final answer
    x = 20,951.51

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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.