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Finding the Fourth Proportional to 22,234.89, 33,352.35 and 9,084.94

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Solution

The fourth proportional to 22,234.89, 33,352.35 and 9,084.94 is: 13,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,234.89 : 33,352.35 = 9,084.94 : x
  2. Step 2: Convert to fraction form
    22,234.89/33,352.35 = 9,084.94/x
  3. Step 3: Cross multiply
    22,234.89x = 33,352.35 × 9,084.94
  4. Step 4: Simplify right side
    22,234.89x = 303,004,098.61
  5. Step 5: Solve for x
    x = 303,004,098.61/22,234.89
  6. Step 6: Final answer
    x = 13,627.42

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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.