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Finding the Fourth Proportional to 12,202.96, 18,296.16 and 3,880.48

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Solution

The fourth proportional to 12,202.96, 18,296.16 and 3,880.48 is: 5,818.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.96 : 18,296.16 = 3,880.48 : x
  2. Step 2: Convert to fraction form
    12,202.96/18,296.16 = 3,880.48/x
  3. Step 3: Cross multiply
    12,202.96x = 18,296.16 × 3,880.48
  4. Step 4: Simplify right side
    12,202.96x = 70,997,882.96
  5. Step 5: Solve for x
    x = 70,997,882.96/12,202.96
  6. Step 6: Final answer
    x = 5,818.09

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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.