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Finding the Fourth Proportional to 16,843.14, 23,218.92 and 11,791.44

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Solution

The fourth proportional to 16,843.14, 23,218.92 and 11,791.44 is: 16,254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.14 : 23,218.92 = 11,791.44 : x
  2. Step 2: Convert to fraction form
    16,843.14/23,218.92 = 11,791.44/x
  3. Step 3: Cross multiply
    16,843.14x = 23,218.92 × 11,791.44
  4. Step 4: Simplify right side
    16,843.14x = 273,784,502.04
  5. Step 5: Solve for x
    x = 273,784,502.04/16,843.14
  6. Step 6: Final answer
    x = 16,254.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.