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Finding the Fourth Proportional to 12,214.64, 18,324.12 and 3,896.48

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Solution

The fourth proportional to 12,214.64, 18,324.12 and 3,896.48 is: 5,845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.64 : 18,324.12 = 3,896.48 : x
  2. Step 2: Convert to fraction form
    12,214.64/18,324.12 = 3,896.48/x
  3. Step 3: Cross multiply
    12,214.64x = 18,324.12 × 3,896.48
  4. Step 4: Simplify right side
    12,214.64x = 71,399,567.10
  5. Step 5: Solve for x
    x = 71,399,567.10/12,214.64
  6. Step 6: Final answer
    x = 5,845.41

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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.