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Finding the Fourth Proportional to 22,278.44, 33,382.49 and 8,219.11

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Solution

The fourth proportional to 22,278.44, 33,382.49 and 8,219.11 is: 12,315.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,278.44 : 33,382.49 = 8,219.11 : x
  2. Step 2: Convert to fraction form
    22,278.44/33,382.49 = 8,219.11/x
  3. Step 3: Cross multiply
    22,278.44x = 33,382.49 × 8,219.11
  4. Step 4: Simplify right side
    22,278.44x = 274,374,357.38
  5. Step 5: Solve for x
    x = 274,374,357.38/22,278.44
  6. Step 6: Final answer
    x = 12,315.69

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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.