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Finding the Fourth Proportional to 22,623.57, 33,940.42 and 6,828.88

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Solution

The fourth proportional to 22,623.57, 33,940.42 and 6,828.88 is: 10,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,623.57 : 33,940.42 = 6,828.88 : x
  2. Step 2: Convert to fraction form
    22,623.57/33,940.42 = 6,828.88/x
  3. Step 3: Cross multiply
    22,623.57x = 33,940.42 × 6,828.88
  4. Step 4: Simplify right side
    22,623.57x = 231,775,055.33
  5. Step 5: Solve for x
    x = 231,775,055.33/22,623.57
  6. Step 6: Final answer
    x = 10,244.85

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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.