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Finding the Fourth Proportional to 12,149.96, 18,198.57 and 5,896.83

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Solution

The fourth proportional to 12,149.96, 18,198.57 and 5,896.83 is: 8,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.96 : 18,198.57 = 5,896.83 : x
  2. Step 2: Convert to fraction form
    12,149.96/18,198.57 = 5,896.83/x
  3. Step 3: Cross multiply
    12,149.96x = 18,198.57 × 5,896.83
  4. Step 4: Simplify right side
    12,149.96x = 107,313,879.54
  5. Step 5: Solve for x
    x = 107,313,879.54/12,149.96
  6. Step 6: Final answer
    x = 8,832.45

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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.