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Finding the Fourth Proportional to 25,649.92, 38,476.68 and 8,120.08

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Solution

The fourth proportional to 25,649.92, 38,476.68 and 8,120.08 is: 12,180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649.92 : 38,476.68 = 8,120.08 : x
  2. Step 2: Convert to fraction form
    25,649.92/38,476.68 = 8,120.08/x
  3. Step 3: Cross multiply
    25,649.92x = 38,476.68 × 8,120.08
  4. Step 4: Simplify right side
    25,649.92x = 312,433,719.73
  5. Step 5: Solve for x
    x = 312,433,719.73/25,649.92
  6. Step 6: Final answer
    x = 12,180.69

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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.