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Finding the Fourth Proportional to 22,512.38, 31,067.09 and 12,576.38

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Solution

The fourth proportional to 22,512.38, 31,067.09 and 12,576.38 is: 17,355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,512.38 : 31,067.09 = 12,576.38 : x
  2. Step 2: Convert to fraction form
    22,512.38/31,067.09 = 12,576.38/x
  3. Step 3: Cross multiply
    22,512.38x = 31,067.09 × 12,576.38
  4. Step 4: Simplify right side
    22,512.38x = 390,711,311.12
  5. Step 5: Solve for x
    x = 390,711,311.12/22,512.38
  6. Step 6: Final answer
    x = 17,355.40

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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.