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Finding the Fourth Proportional to 24,843.92, 37,268.40 and 8,204

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Solution

The fourth proportional to 24,843.92, 37,268.40 and 8,204 is: 12,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.92 : 37,268.40 = 8,204 : x
  2. Step 2: Convert to fraction form
    24,843.92/37,268.40 = 8,204/x
  3. Step 3: Cross multiply
    24,843.92x = 37,268.40 × 8,204
  4. Step 4: Simplify right side
    24,843.92x = 305,749,953.60
  5. Step 5: Solve for x
    x = 305,749,953.60/24,843.92
  6. Step 6: Final answer
    x = 12,306.83

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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.