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Finding the Fourth Proportional to 18,229.26, 27,322.40 and 8,222.29

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Solution

The fourth proportional to 18,229.26, 27,322.40 and 8,222.29 is: 12,323.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,229.26 : 27,322.40 = 8,222.29 : x
  2. Step 2: Convert to fraction form
    18,229.26/27,322.40 = 8,222.29/x
  3. Step 3: Cross multiply
    18,229.26x = 27,322.40 × 8,222.29
  4. Step 4: Simplify right side
    18,229.26x = 224,652,755.98
  5. Step 5: Solve for x
    x = 224,652,755.98/18,229.26
  6. Step 6: Final answer
    x = 12,323.74

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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.