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Finding the Fourth Proportional to 12,469.21, 18,688.79 and 5,446.22

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Solution

The fourth proportional to 12,469.21, 18,688.79 and 5,446.22 is: 8,162.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.21 : 18,688.79 = 5,446.22 : x
  2. Step 2: Convert to fraction form
    12,469.21/18,688.79 = 5,446.22/x
  3. Step 3: Cross multiply
    12,469.21x = 18,688.79 × 5,446.22
  4. Step 4: Simplify right side
    12,469.21x = 101,783,182.05
  5. Step 5: Solve for x
    x = 101,783,182.05/12,469.21
  6. Step 6: Final answer
    x = 8,162.76

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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.