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Finding the Fourth Proportional to 23,992.26, 35,987.34 and 8,198.70

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Solution

The fourth proportional to 23,992.26, 35,987.34 and 8,198.70 is: 12,297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,992.26 : 35,987.34 = 8,198.70 : x
  2. Step 2: Convert to fraction form
    23,992.26/35,987.34 = 8,198.70/x
  3. Step 3: Cross multiply
    23,992.26x = 35,987.34 × 8,198.70
  4. Step 4: Simplify right side
    23,992.26x = 295,049,404.46
  5. Step 5: Solve for x
    x = 295,049,404.46/23,992.26
  6. Step 6: Final answer
    x = 12,297.69

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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.