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Finding the Fourth Proportional to 25,676.27, 38,514.31 and 8,147.47

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Solution

The fourth proportional to 25,676.27, 38,514.31 and 8,147.47 is: 12,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,676.27 : 38,514.31 = 8,147.47 : x
  2. Step 2: Convert to fraction form
    25,676.27/38,514.31 = 8,147.47/x
  3. Step 3: Cross multiply
    25,676.27x = 38,514.31 × 8,147.47
  4. Step 4: Simplify right side
    25,676.27x = 313,794,068.64
  5. Step 5: Solve for x
    x = 313,794,068.64/25,676.27
  6. Step 6: Final answer
    x = 12,221.17

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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.