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Finding the Fourth Proportional to 27,481.76, 41,217.86 and 12,689.42

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Solution

The fourth proportional to 27,481.76, 41,217.86 and 12,689.42 is: 19,031.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,481.76 : 41,217.86 = 12,689.42 : x
  2. Step 2: Convert to fraction form
    27,481.76/41,217.86 = 12,689.42/x
  3. Step 3: Cross multiply
    27,481.76x = 41,217.86 × 12,689.42
  4. Step 4: Simplify right side
    27,481.76x = 523,030,737.04
  5. Step 5: Solve for x
    x = 523,030,737.04/27,481.76
  6. Step 6: Final answer
    x = 19,031.92

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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.