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Finding the Fourth Proportional to 22,234.32, 30,684.24 and 12,163.19

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Solution

The fourth proportional to 22,234.32, 30,684.24 and 12,163.19 is: 16,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,234.32 : 30,684.24 = 12,163.19 : x
  2. Step 2: Convert to fraction form
    22,234.32/30,684.24 = 12,163.19/x
  3. Step 3: Cross multiply
    22,234.32x = 30,684.24 × 12,163.19
  4. Step 4: Simplify right side
    22,234.32x = 373,218,087.70
  5. Step 5: Solve for x
    x = 373,218,087.70/22,234.32
  6. Step 6: Final answer
    x = 16,785.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.