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Finding the Fourth Proportional to 12,149.96, 18,129.60 and 11,406.92

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Solution

The fourth proportional to 12,149.96, 18,129.60 and 11,406.92 is: 17,020.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.96 : 18,129.60 = 11,406.92 : x
  2. Step 2: Convert to fraction form
    12,149.96/18,129.60 = 11,406.92/x
  3. Step 3: Cross multiply
    12,149.96x = 18,129.60 × 11,406.92
  4. Step 4: Simplify right side
    12,149.96x = 206,802,896.83
  5. Step 5: Solve for x
    x = 206,802,896.83/12,149.96
  6. Step 6: Final answer
    x = 17,020.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.