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Finding the Fourth Proportional to 23,769.38, 32,801.52 and 13,694.12

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Solution

The fourth proportional to 23,769.38, 32,801.52 and 13,694.12 is: 18,897.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769.38 : 32,801.52 = 13,694.12 : x
  2. Step 2: Convert to fraction form
    23,769.38/32,801.52 = 13,694.12/x
  3. Step 3: Cross multiply
    23,769.38x = 32,801.52 × 13,694.12
  4. Step 4: Simplify right side
    23,769.38x = 449,187,951.06
  5. Step 5: Solve for x
    x = 449,187,951.06/23,769.38
  6. Step 6: Final answer
    x = 18,897.76

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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.