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Finding the Fourth Proportional to 16,394, 24,584.52 and 8,067.92

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Solution

The fourth proportional to 16,394, 24,584.52 and 8,067.92 is: 12,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,394 : 24,584.52 = 8,067.92 : x
  2. Step 2: Convert to fraction form
    16,394/24,584.52 = 8,067.92/x
  3. Step 3: Cross multiply
    16,394x = 24,584.52 × 8,067.92
  4. Step 4: Simplify right side
    16,394x = 198,345,940.60
  5. Step 5: Solve for x
    x = 198,345,940.60/16,394
  6. Step 6: Final answer
    x = 12,098.69

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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.