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Finding the Fourth Proportional to 25,662.27, 38,494.49 and 8,131.71

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Solution

The fourth proportional to 25,662.27, 38,494.49 and 8,131.71 is: 12,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,662.27 : 38,494.49 = 8,131.71 : x
  2. Step 2: Convert to fraction form
    25,662.27/38,494.49 = 8,131.71/x
  3. Step 3: Cross multiply
    25,662.27x = 38,494.49 × 8,131.71
  4. Step 4: Simplify right side
    25,662.27x = 313,026,029.28
  5. Step 5: Solve for x
    x = 313,026,029.28/25,662.27
  6. Step 6: Final answer
    x = 12,197.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.