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Finding the Fourth Proportional to 22,234.80, 33,352.20 and 9,084.24

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Solution

The fourth proportional to 22,234.80, 33,352.20 and 9,084.24 is: 13,626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,234.80 : 33,352.20 = 9,084.24 : x
  2. Step 2: Convert to fraction form
    22,234.80/33,352.20 = 9,084.24/x
  3. Step 3: Cross multiply
    22,234.80x = 33,352.20 × 9,084.24
  4. Step 4: Simplify right side
    22,234.80x = 302,979,389.33
  5. Step 5: Solve for x
    x = 302,979,389.33/22,234.80
  6. Step 6: Final answer
    x = 13,626.36

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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.