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Finding the Fourth Proportional to 25,926.69, 38,896.19 and 8,396.49

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Solution

The fourth proportional to 25,926.69, 38,896.19 and 8,396.49 is: 12,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,926.69 : 38,896.19 = 8,396.49 : x
  2. Step 2: Convert to fraction form
    25,926.69/38,896.19 = 8,396.49/x
  3. Step 3: Cross multiply
    25,926.69x = 38,896.19 × 8,396.49
  4. Step 4: Simplify right side
    25,926.69x = 326,591,470.37
  5. Step 5: Solve for x
    x = 326,591,470.37/25,926.69
  6. Step 6: Final answer
    x = 12,596.73

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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.