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Finding the Fourth Proportional to 27,757.52, 38,305.68 and 15,182

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Solution

The fourth proportional to 27,757.52, 38,305.68 and 15,182 is: 20,951.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,757.52 : 38,305.68 = 15,182 : x
  2. Step 2: Convert to fraction form
    27,757.52/38,305.68 = 15,182/x
  3. Step 3: Cross multiply
    27,757.52x = 38,305.68 × 15,182
  4. Step 4: Simplify right side
    27,757.52x = 581,556,833.76
  5. Step 5: Solve for x
    x = 581,556,833.76/27,757.52
  6. Step 6: Final answer
    x = 20,951.33

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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.