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Finding the Fourth Proportional to 25,676.41, 38,514.68 and 6,956.56

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Solution

The fourth proportional to 25,676.41, 38,514.68 and 6,956.56 is: 10,434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,676.41 : 38,514.68 = 6,956.56 : x
  2. Step 2: Convert to fraction form
    25,676.41/38,514.68 = 6,956.56/x
  3. Step 3: Cross multiply
    25,676.41x = 38,514.68 × 6,956.56
  4. Step 4: Simplify right side
    25,676.41x = 267,929,682.30
  5. Step 5: Solve for x
    x = 267,929,682.30/25,676.41
  6. Step 6: Final answer
    x = 10,434.86

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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.