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Finding the Fourth Proportional to 22,447.49, 30,976.11 and 12,375.38

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Solution

The fourth proportional to 22,447.49, 30,976.11 and 12,375.38 is: 17,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.49 : 30,976.11 = 12,375.38 : x
  2. Step 2: Convert to fraction form
    22,447.49/30,976.11 = 12,375.38/x
  3. Step 3: Cross multiply
    22,447.49x = 30,976.11 × 12,375.38
  4. Step 4: Simplify right side
    22,447.49x = 383,341,209.61
  5. Step 5: Solve for x
    x = 383,341,209.61/22,447.49
  6. Step 6: Final answer
    x = 17,077.25

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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.