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Finding the Fourth Proportional to 27,944.35, 41,922.41 and 8,221.25

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Solution

The fourth proportional to 27,944.35, 41,922.41 and 8,221.25 is: 12,333.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,944.35 : 41,922.41 = 8,221.25 : x
  2. Step 2: Convert to fraction form
    27,944.35/41,922.41 = 8,221.25/x
  3. Step 3: Cross multiply
    27,944.35x = 41,922.41 × 8,221.25
  4. Step 4: Simplify right side
    27,944.35x = 344,654,676.91
  5. Step 5: Solve for x
    x = 344,654,676.91/27,944.35
  6. Step 6: Final answer
    x = 12,333.61

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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.