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Finding the Fourth Proportional to 16,474.34, 22,734.70 and 9,206.44

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Solution

The fourth proportional to 16,474.34, 22,734.70 and 9,206.44 is: 12,704.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.34 : 22,734.70 = 9,206.44 : x
  2. Step 2: Convert to fraction form
    16,474.34/22,734.70 = 9,206.44/x
  3. Step 3: Cross multiply
    16,474.34x = 22,734.70 × 9,206.44
  4. Step 4: Simplify right side
    16,474.34x = 209,305,571.62
  5. Step 5: Solve for x
    x = 209,305,571.62/16,474.34
  6. Step 6: Final answer
    x = 12,704.94

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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.