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Finding the Fourth Proportional to 12,604.40, 18,912.60 and 8,446.40

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Solution

The fourth proportional to 12,604.40, 18,912.60 and 8,446.40 is: 12,673.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604.40 : 18,912.60 = 8,446.40 : x
  2. Step 2: Convert to fraction form
    12,604.40/18,912.60 = 8,446.40/x
  3. Step 3: Cross multiply
    12,604.40x = 18,912.60 × 8,446.40
  4. Step 4: Simplify right side
    12,604.40x = 159,743,384.64
  5. Step 5: Solve for x
    x = 159,743,384.64/12,604.40
  6. Step 6: Final answer
    x = 12,673.62

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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.