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Finding the Fourth Proportional to 24,634.36, 36,951.78 and 9,847

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Solution

The fourth proportional to 24,634.36, 36,951.78 and 9,847 is: 14,770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,634.36 : 36,951.78 = 9,847 : x
  2. Step 2: Convert to fraction form
    24,634.36/36,951.78 = 9,847/x
  3. Step 3: Cross multiply
    24,634.36x = 36,951.78 × 9,847
  4. Step 4: Simplify right side
    24,634.36x = 363,864,177.66
  5. Step 5: Solve for x
    x = 363,864,177.66/24,634.36
  6. Step 6: Final answer
    x = 14,770.60

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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.