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Finding the Fourth Proportional to 16,121.67, 24,195.84 and 8,230.02

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Solution

The fourth proportional to 16,121.67, 24,195.84 and 8,230.02 is: 12,351.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,121.67 : 24,195.84 = 8,230.02 : x
  2. Step 2: Convert to fraction form
    16,121.67/24,195.84 = 8,230.02/x
  3. Step 3: Cross multiply
    16,121.67x = 24,195.84 × 8,230.02
  4. Step 4: Simplify right side
    16,121.67x = 199,132,247.12
  5. Step 5: Solve for x
    x = 199,132,247.12/16,121.67
  6. Step 6: Final answer
    x = 12,351.84

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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.