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Finding the Fourth Proportional to 23,993.72, 35,990.32 and 8,198.60

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Solution

The fourth proportional to 23,993.72, 35,990.32 and 8,198.60 is: 12,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,993.72 : 35,990.32 = 8,198.60 : x
  2. Step 2: Convert to fraction form
    23,993.72/35,990.32 = 8,198.60/x
  3. Step 3: Cross multiply
    23,993.72x = 35,990.32 × 8,198.60
  4. Step 4: Simplify right side
    23,993.72x = 295,070,237.55
  5. Step 5: Solve for x
    x = 295,070,237.55/23,993.72
  6. Step 6: Final answer
    x = 12,297.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.