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Finding the Fourth Proportional to 22,446.50, 30,974.82 and 12,375.36

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Solution

The fourth proportional to 22,446.50, 30,974.82 and 12,375.36 is: 17,077.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,446.50 : 30,974.82 = 12,375.36 : x
  2. Step 2: Convert to fraction form
    22,446.50/30,974.82 = 12,375.36/x
  3. Step 3: Cross multiply
    22,446.50x = 30,974.82 × 12,375.36
  4. Step 4: Simplify right side
    22,446.50x = 383,324,548.44
  5. Step 5: Solve for x
    x = 383,324,548.44/22,446.50
  6. Step 6: Final answer
    x = 17,077.26

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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.