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Finding the Fourth Proportional to 27,789.52, 38,349.96 and 15,215.44

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Solution

The fourth proportional to 27,789.52, 38,349.96 and 15,215.44 is: 20,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,789.52 : 38,349.96 = 15,215.44 : x
  2. Step 2: Convert to fraction form
    27,789.52/38,349.96 = 15,215.44/x
  3. Step 3: Cross multiply
    27,789.52x = 38,349.96 × 15,215.44
  4. Step 4: Simplify right side
    27,789.52x = 583,511,515.38
  5. Step 5: Solve for x
    x = 583,511,515.38/27,789.52
  6. Step 6: Final answer
    x = 20,997.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.