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Finding the Fourth Proportional to 22,365.38, 30,864.61 and 12,294.24

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Solution

The fourth proportional to 22,365.38, 30,864.61 and 12,294.24 is: 16,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,365.38 : 30,864.61 = 12,294.24 : x
  2. Step 2: Convert to fraction form
    22,365.38/30,864.61 = 12,294.24/x
  3. Step 3: Cross multiply
    22,365.38x = 30,864.61 × 12,294.24
  4. Step 4: Simplify right side
    22,365.38x = 379,456,987.62
  5. Step 5: Solve for x
    x = 379,456,987.62/22,365.38
  6. Step 6: Final answer
    x = 16,966.27

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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.