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Finding the Fourth Proportional to 18,278.85, 27,414.82 and 8,909.46

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Solution

The fourth proportional to 18,278.85, 27,414.82 and 8,909.46 is: 13,362.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,278.85 : 27,414.82 = 8,909.46 : x
  2. Step 2: Convert to fraction form
    18,278.85/27,414.82 = 8,909.46/x
  3. Step 3: Cross multiply
    18,278.85x = 27,414.82 × 8,909.46
  4. Step 4: Simplify right side
    18,278.85x = 244,251,253.33
  5. Step 5: Solve for x
    x = 244,251,253.33/18,278.85
  6. Step 6: Final answer
    x = 13,362.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.