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Finding the Fourth Proportional to 25,649.19, 38,473.17 and 7,879.80

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Solution

The fourth proportional to 25,649.19, 38,473.17 and 7,879.80 is: 11,819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649.19 : 38,473.17 = 7,879.80 : x
  2. Step 2: Convert to fraction form
    25,649.19/38,473.17 = 7,879.80/x
  3. Step 3: Cross multiply
    25,649.19x = 38,473.17 × 7,879.80
  4. Step 4: Simplify right side
    25,649.19x = 303,160,884.97
  5. Step 5: Solve for x
    x = 303,160,884.97/25,649.19
  6. Step 6: Final answer
    x = 11,819.51

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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.