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Finding the Fourth Proportional to 27,944.84, 41,917.19 and 8,223.36

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Solution

The fourth proportional to 27,944.84, 41,917.19 and 8,223.36 is: 12,335.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,944.84 : 41,917.19 = 8,223.36 : x
  2. Step 2: Convert to fraction form
    27,944.84/41,917.19 = 8,223.36/x
  3. Step 3: Cross multiply
    27,944.84x = 41,917.19 × 8,223.36
  4. Step 4: Simplify right side
    27,944.84x = 344,700,102.44
  5. Step 5: Solve for x
    x = 344,700,102.44/27,944.84
  6. Step 6: Final answer
    x = 12,335.02

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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.