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Finding the Fourth Proportional to 27,469.86, 41,191.16 and 8,747.46

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Solution

The fourth proportional to 27,469.86, 41,191.16 and 8,747.46 is: 13,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469.86 : 41,191.16 = 8,747.46 : x
  2. Step 2: Convert to fraction form
    27,469.86/41,191.16 = 8,747.46/x
  3. Step 3: Cross multiply
    27,469.86x = 41,191.16 × 8,747.46
  4. Step 4: Simplify right side
    27,469.86x = 360,318,024.45
  5. Step 5: Solve for x
    x = 360,318,024.45/27,469.86
  6. Step 6: Final answer
    x = 13,116.85

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Why These Related Problems?

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