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Finding the Fourth Proportional to 25,924.69, 38,893.19 and 8,394.49

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Solution

The fourth proportional to 25,924.69, 38,893.19 and 8,394.49 is: 12,593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,924.69 : 38,893.19 = 8,394.49 : x
  2. Step 2: Convert to fraction form
    25,924.69/38,893.19 = 8,394.49/x
  3. Step 3: Cross multiply
    25,924.69x = 38,893.19 × 8,394.49
  4. Step 4: Simplify right side
    25,924.69x = 326,488,452.55
  5. Step 5: Solve for x
    x = 326,488,452.55/25,924.69
  6. Step 6: Final answer
    x = 12,593.73

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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.