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Finding the Fourth Proportional to 25,265.80, 37,902.49 and 8,162.97

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Solution

The fourth proportional to 25,265.80, 37,902.49 and 8,162.97 is: 12,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,265.80 : 37,902.49 = 8,162.97 : x
  2. Step 2: Convert to fraction form
    25,265.80/37,902.49 = 8,162.97/x
  3. Step 3: Cross multiply
    25,265.80x = 37,902.49 × 8,162.97
  4. Step 4: Simplify right side
    25,265.80x = 309,396,995.22
  5. Step 5: Solve for x
    x = 309,396,995.22/25,265.80
  6. Step 6: Final answer
    x = 12,245.68

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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.