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Finding the Fourth Proportional to 25,676.04, 38,514.20 and 7,906.48

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Solution

The fourth proportional to 25,676.04, 38,514.20 and 7,906.48 is: 11,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,676.04 : 38,514.20 = 7,906.48 : x
  2. Step 2: Convert to fraction form
    25,676.04/38,514.20 = 7,906.48/x
  3. Step 3: Cross multiply
    25,676.04x = 38,514.20 × 7,906.48
  4. Step 4: Simplify right side
    25,676.04x = 304,511,752.02
  5. Step 5: Solve for x
    x = 304,511,752.02/25,676.04
  6. Step 6: Final answer
    x = 11,859.76

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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.