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Finding the Fourth Proportional to 25,102.68, 37,627.74 and 8,456.96

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Solution

The fourth proportional to 25,102.68, 37,627.74 and 8,456.96 is: 12,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,102.68 : 37,627.74 = 8,456.96 : x
  2. Step 2: Convert to fraction form
    25,102.68/37,627.74 = 8,456.96/x
  3. Step 3: Cross multiply
    25,102.68x = 37,627.74 × 8,456.96
  4. Step 4: Simplify right side
    25,102.68x = 318,216,103.93
  5. Step 5: Solve for x
    x = 318,216,103.93/25,102.68
  6. Step 6: Final answer
    x = 12,676.58

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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.