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Finding the Fourth Proportional to 19,625.73, 29,422 and 8,524.02

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Solution

The fourth proportional to 19,625.73, 29,422 and 8,524.02 is: 12,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,625.73 : 29,422 = 8,524.02 : x
  2. Step 2: Convert to fraction form
    19,625.73/29,422 = 8,524.02/x
  3. Step 3: Cross multiply
    19,625.73x = 29,422 × 8,524.02
  4. Step 4: Simplify right side
    19,625.73x = 250,793,716.44
  5. Step 5: Solve for x
    x = 250,793,716.44/19,625.73
  6. Step 6: Final answer
    x = 12,778.82

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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.