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Finding the Fourth Proportional to 22,338.57, 30,825.11 and 13,384.41

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Solution

The fourth proportional to 22,338.57, 30,825.11 and 13,384.41 is: 18,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,338.57 : 30,825.11 = 13,384.41 : x
  2. Step 2: Convert to fraction form
    22,338.57/30,825.11 = 13,384.41/x
  3. Step 3: Cross multiply
    22,338.57x = 30,825.11 × 13,384.41
  4. Step 4: Simplify right side
    22,338.57x = 412,575,843.61
  5. Step 5: Solve for x
    x = 412,575,843.61/22,338.57
  6. Step 6: Final answer
    x = 18,469.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.