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Finding the Fourth Proportional to 16,198.69, 24,311.01 and 8,409.73

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Solution

The fourth proportional to 16,198.69, 24,311.01 and 8,409.73 is: 12,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.69 : 24,311.01 = 8,409.73 : x
  2. Step 2: Convert to fraction form
    16,198.69/24,311.01 = 8,409.73/x
  3. Step 3: Cross multiply
    16,198.69x = 24,311.01 × 8,409.73
  4. Step 4: Simplify right side
    16,198.69x = 204,449,030.13
  5. Step 5: Solve for x
    x = 204,449,030.13/16,198.69
  6. Step 6: Final answer
    x = 12,621.33

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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.