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Finding the Fourth Proportional to 27,424.89, 41,138.87 and 7,701.91

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Solution

The fourth proportional to 27,424.89, 41,138.87 and 7,701.91 is: 11,553.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424.89 : 41,138.87 = 7,701.91 : x
  2. Step 2: Convert to fraction form
    27,424.89/41,138.87 = 7,701.91/x
  3. Step 3: Cross multiply
    27,424.89x = 41,138.87 × 7,701.91
  4. Step 4: Simplify right side
    27,424.89x = 316,847,874.24
  5. Step 5: Solve for x
    x = 316,847,874.24/27,424.89
  6. Step 6: Final answer
    x = 11,553.30

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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.