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Finding the Fourth Proportional to 22,172.47, 33,238.92 and 8,129.21

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Solution

The fourth proportional to 22,172.47, 33,238.92 and 8,129.21 is: 12,186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,172.47 : 33,238.92 = 8,129.21 : x
  2. Step 2: Convert to fraction form
    22,172.47/33,238.92 = 8,129.21/x
  3. Step 3: Cross multiply
    22,172.47x = 33,238.92 × 8,129.21
  4. Step 4: Simplify right side
    22,172.47x = 270,206,295.66
  5. Step 5: Solve for x
    x = 270,206,295.66/22,172.47
  6. Step 6: Final answer
    x = 12,186.57

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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.