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Finding the Fourth Proportional to 12,204.79, 18,302.46 and 4,198.04

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Solution

The fourth proportional to 12,204.79, 18,302.46 and 4,198.04 is: 6,295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.79 : 18,302.46 = 4,198.04 : x
  2. Step 2: Convert to fraction form
    12,204.79/18,302.46 = 4,198.04/x
  3. Step 3: Cross multiply
    12,204.79x = 18,302.46 × 4,198.04
  4. Step 4: Simplify right side
    12,204.79x = 76,834,403.40
  5. Step 5: Solve for x
    x = 76,834,403.40/12,204.79
  6. Step 6: Final answer
    x = 6,295.43

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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.