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Finding the Fourth Proportional to 22,305.39, 30,781.42 and 12,233.62

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Solution

The fourth proportional to 22,305.39, 30,781.42 and 12,233.62 is: 16,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,305.39 : 30,781.42 = 12,233.62 : x
  2. Step 2: Convert to fraction form
    22,305.39/30,781.42 = 12,233.62/x
  3. Step 3: Cross multiply
    22,305.39x = 30,781.42 × 12,233.62
  4. Step 4: Simplify right side
    22,305.39x = 376,568,195.34
  5. Step 5: Solve for x
    x = 376,568,195.34/22,305.39
  6. Step 6: Final answer
    x = 16,882.39

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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.