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Finding the Fourth Proportional to 22,382.98, 33,552.60 and 9,244.54

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Solution

The fourth proportional to 22,382.98, 33,552.60 and 9,244.54 is: 13,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.98 : 33,552.60 = 9,244.54 : x
  2. Step 2: Convert to fraction form
    22,382.98/33,552.60 = 9,244.54/x
  3. Step 3: Cross multiply
    22,382.98x = 33,552.60 × 9,244.54
  4. Step 4: Simplify right side
    22,382.98x = 310,178,352.80
  5. Step 5: Solve for x
    x = 310,178,352.80/22,382.98
  6. Step 6: Final answer
    x = 13,857.78

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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.