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Finding the Fourth Proportional to 22,078.34, 33,121.62 and 10,224.29

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Solution

The fourth proportional to 22,078.34, 33,121.62 and 10,224.29 is: 15,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,078.34 : 33,121.62 = 10,224.29 : x
  2. Step 2: Convert to fraction form
    22,078.34/33,121.62 = 10,224.29/x
  3. Step 3: Cross multiply
    22,078.34x = 33,121.62 × 10,224.29
  4. Step 4: Simplify right side
    22,078.34x = 338,645,005.60
  5. Step 5: Solve for x
    x = 338,645,005.60/22,078.34
  6. Step 6: Final answer
    x = 15,338.34

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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.