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Finding the Fourth Proportional to 27,408.38, 41,112.77 and 6,631.88

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Solution

The fourth proportional to 27,408.38, 41,112.77 and 6,631.88 is: 9,947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408.38 : 41,112.77 = 6,631.88 : x
  2. Step 2: Convert to fraction form
    27,408.38/41,112.77 = 6,631.88/x
  3. Step 3: Cross multiply
    27,408.38x = 41,112.77 × 6,631.88
  4. Step 4: Simplify right side
    27,408.38x = 272,654,718.38
  5. Step 5: Solve for x
    x = 272,654,718.38/27,408.38
  6. Step 6: Final answer
    x = 9,947.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.