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Finding the Fourth Proportional to 26,842.26, 40,257.90 and 10,196.46

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Solution

The fourth proportional to 26,842.26, 40,257.90 and 10,196.46 is: 15,292.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,842.26 : 40,257.90 = 10,196.46 : x
  2. Step 2: Convert to fraction form
    26,842.26/40,257.90 = 10,196.46/x
  3. Step 3: Cross multiply
    26,842.26x = 40,257.90 × 10,196.46
  4. Step 4: Simplify right side
    26,842.26x = 410,488,067.03
  5. Step 5: Solve for x
    x = 410,488,067.03/26,842.26
  6. Step 6: Final answer
    x = 15,292.60

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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.