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Finding the Fourth Proportional to 23,112.38, 31,893.27 and 13,043.27

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Solution

The fourth proportional to 23,112.38, 31,893.27 and 13,043.27 is: 17,998.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,112.38 : 31,893.27 = 13,043.27 : x
  2. Step 2: Convert to fraction form
    23,112.38/31,893.27 = 13,043.27/x
  3. Step 3: Cross multiply
    23,112.38x = 31,893.27 × 13,043.27
  4. Step 4: Simplify right side
    23,112.38x = 415,992,531.79
  5. Step 5: Solve for x
    x = 415,992,531.79/23,112.38
  6. Step 6: Final answer
    x = 17,998.69

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Why These Related Problems?

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