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Finding the Fourth Proportional to 24,204, 33,404.75 and 14,651.60

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Solution

The fourth proportional to 24,204, 33,404.75 and 14,651.60 is: 20,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,204 : 33,404.75 = 14,651.60 : x
  2. Step 2: Convert to fraction form
    24,204/33,404.75 = 14,651.60/x
  3. Step 3: Cross multiply
    24,204x = 33,404.75 × 14,651.60
  4. Step 4: Simplify right side
    24,204x = 489,432,794.82
  5. Step 5: Solve for x
    x = 489,432,794.82/24,204
  6. Step 6: Final answer
    x = 20,221.15

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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.