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Finding the Fourth Proportional to 27,872.51, 41,797.82 and 11,229.44

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Solution

The fourth proportional to 27,872.51, 41,797.82 and 11,229.44 is: 16,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.51 : 41,797.82 = 11,229.44 : x
  2. Step 2: Convert to fraction form
    27,872.51/41,797.82 = 11,229.44/x
  3. Step 3: Cross multiply
    27,872.51x = 41,797.82 × 11,229.44
  4. Step 4: Simplify right side
    27,872.51x = 469,365,930.91
  5. Step 5: Solve for x
    x = 469,365,930.91/27,872.51
  6. Step 6: Final answer
    x = 16,839.75

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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.