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Finding the Fourth Proportional to 22,234.80, 33,349.32 and 8,382

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Solution

The fourth proportional to 22,234.80, 33,349.32 and 8,382 is: 12,571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,234.80 : 33,349.32 = 8,382 : x
  2. Step 2: Convert to fraction form
    22,234.80/33,349.32 = 8,382/x
  3. Step 3: Cross multiply
    22,234.80x = 33,349.32 × 8,382
  4. Step 4: Simplify right side
    22,234.80x = 279,534,000.24
  5. Step 5: Solve for x
    x = 279,534,000.24/22,234.80
  6. Step 6: Final answer
    x = 12,571.91

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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.