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Finding the Fourth Proportional to 23,686.38, 32,687.28 and 13,076.03

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Solution

The fourth proportional to 23,686.38, 32,687.28 and 13,076.03 is: 18,044.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,686.38 : 32,687.28 = 13,076.03 : x
  2. Step 2: Convert to fraction form
    23,686.38/32,687.28 = 13,076.03/x
  3. Step 3: Cross multiply
    23,686.38x = 32,687.28 × 13,076.03
  4. Step 4: Simplify right side
    23,686.38x = 427,419,935.62
  5. Step 5: Solve for x
    x = 427,419,935.62/23,686.38
  6. Step 6: Final answer
    x = 18,044.97

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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.