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Finding the Fourth Proportional to 25,676.33, 38,514.57 and 7,906.88

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Solution

The fourth proportional to 25,676.33, 38,514.57 and 7,906.88 is: 11,860.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,676.33 : 38,514.57 = 7,906.88 : x
  2. Step 2: Convert to fraction form
    25,676.33/38,514.57 = 7,906.88/x
  3. Step 3: Cross multiply
    25,676.33x = 38,514.57 × 7,906.88
  4. Step 4: Simplify right side
    25,676.33x = 304,530,194.35
  5. Step 5: Solve for x
    x = 304,530,194.35/25,676.33
  6. Step 6: Final answer
    x = 11,860.35

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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.