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Finding the Fourth Proportional to 27,473.74, 41,213.82 and 8,747.22

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Solution

The fourth proportional to 27,473.74, 41,213.82 and 8,747.22 is: 13,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,473.74 : 41,213.82 = 8,747.22 : x
  2. Step 2: Convert to fraction form
    27,473.74/41,213.82 = 8,747.22/x
  3. Step 3: Cross multiply
    27,473.74x = 41,213.82 × 8,747.22
  4. Step 4: Simplify right side
    27,473.74x = 360,506,350.58
  5. Step 5: Solve for x
    x = 360,506,350.58/27,473.74
  6. Step 6: Final answer
    x = 13,121.85

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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.