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Finding the Fourth Proportional to 27,937.91, 41,906.86 and 8,216.46

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Solution

The fourth proportional to 27,937.91, 41,906.86 and 8,216.46 is: 12,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,937.91 : 41,906.86 = 8,216.46 : x
  2. Step 2: Convert to fraction form
    27,937.91/41,906.86 = 8,216.46/x
  3. Step 3: Cross multiply
    27,937.91x = 41,906.86 × 8,216.46
  4. Step 4: Simplify right side
    27,937.91x = 344,326,081.54
  5. Step 5: Solve for x
    x = 344,326,081.54/27,937.91
  6. Step 6: Final answer
    x = 12,324.69

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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.