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Finding the Fourth Proportional to 25,593.50, 38,386.46 and 8,067.62

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Solution

The fourth proportional to 25,593.50, 38,386.46 and 8,067.62 is: 12,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,593.50 : 38,386.46 = 8,067.62 : x
  2. Step 2: Convert to fraction form
    25,593.50/38,386.46 = 8,067.62/x
  3. Step 3: Cross multiply
    25,593.50x = 38,386.46 × 8,067.62
  4. Step 4: Simplify right side
    25,593.50x = 309,687,372.43
  5. Step 5: Solve for x
    x = 309,687,372.43/25,593.50
  6. Step 6: Final answer
    x = 12,100.24

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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.