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Finding the Fourth Proportional to 27,920.39, 41,881.25 and 8,198.91

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Solution

The fourth proportional to 27,920.39, 41,881.25 and 8,198.91 is: 12,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,920.39 : 41,881.25 = 8,198.91 : x
  2. Step 2: Convert to fraction form
    27,920.39/41,881.25 = 8,198.91/x
  3. Step 3: Cross multiply
    27,920.39x = 41,881.25 × 8,198.91
  4. Step 4: Simplify right side
    27,920.39x = 343,380,619.93
  5. Step 5: Solve for x
    x = 343,380,619.93/27,920.39
  6. Step 6: Final answer
    x = 12,298.56

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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.