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Finding the Fourth Proportional to 22,036.97, 33,055.46 and 8,178.41

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Solution

The fourth proportional to 22,036.97, 33,055.46 and 8,178.41 is: 12,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,036.97 : 33,055.46 = 8,178.41 : x
  2. Step 2: Convert to fraction form
    22,036.97/33,055.46 = 8,178.41/x
  3. Step 3: Cross multiply
    22,036.97x = 33,055.46 × 8,178.41
  4. Step 4: Simplify right side
    22,036.97x = 270,341,104.62
  5. Step 5: Solve for x
    x = 270,341,104.62/22,036.97
  6. Step 6: Final answer
    x = 12,267.62

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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.