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Finding the Fourth Proportional to 22,185.07, 33,257.80 and 8,141.80

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Solution

The fourth proportional to 22,185.07, 33,257.80 and 8,141.80 is: 12,205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,185.07 : 33,257.80 = 8,141.80 : x
  2. Step 2: Convert to fraction form
    22,185.07/33,257.80 = 8,141.80/x
  3. Step 3: Cross multiply
    22,185.07x = 33,257.80 × 8,141.80
  4. Step 4: Simplify right side
    22,185.07x = 270,778,356.04
  5. Step 5: Solve for x
    x = 270,778,356.04/22,185.07
  6. Step 6: Final answer
    x = 12,205.43

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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.