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Finding the Fourth Proportional to 25,676.28, 38,525.40 and 12,342.87

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Solution

The fourth proportional to 25,676.28, 38,525.40 and 12,342.87 is: 18,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,676.28 : 38,525.40 = 12,342.87 : x
  2. Step 2: Convert to fraction form
    25,676.28/38,525.40 = 12,342.87/x
  3. Step 3: Cross multiply
    25,676.28x = 38,525.40 × 12,342.87
  4. Step 4: Simplify right side
    25,676.28x = 475,514,003.90
  5. Step 5: Solve for x
    x = 475,514,003.90/25,676.28
  6. Step 6: Final answer
    x = 18,519.58

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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.