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Finding the Fourth Proportional to 27,920.25, 41,872.14 and 11,912.40

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Solution

The fourth proportional to 27,920.25, 41,872.14 and 11,912.40 is: 17,865.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,920.25 : 41,872.14 = 11,912.40 : x
  2. Step 2: Convert to fraction form
    27,920.25/41,872.14 = 11,912.40/x
  3. Step 3: Cross multiply
    27,920.25x = 41,872.14 × 11,912.40
  4. Step 4: Simplify right side
    27,920.25x = 498,797,680.54
  5. Step 5: Solve for x
    x = 498,797,680.54/27,920.25
  6. Step 6: Final answer
    x = 17,865.09

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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.