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Finding the Fourth Proportional to 12,033.09, 18,020.48 and 8,324.91

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Solution

The fourth proportional to 12,033.09, 18,020.48 and 8,324.91 is: 12,467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033.09 : 18,020.48 = 8,324.91 : x
  2. Step 2: Convert to fraction form
    12,033.09/18,020.48 = 8,324.91/x
  3. Step 3: Cross multiply
    12,033.09x = 18,020.48 × 8,324.91
  4. Step 4: Simplify right side
    12,033.09x = 150,018,832.53
  5. Step 5: Solve for x
    x = 150,018,832.53/12,033.09
  6. Step 6: Final answer
    x = 12,467.19

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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.