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Finding the Fourth Proportional to 12,214.67, 18,324.44 and 3,894.42

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Solution

The fourth proportional to 12,214.67, 18,324.44 and 3,894.42 is: 5,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.67 : 18,324.44 = 3,894.42 : x
  2. Step 2: Convert to fraction form
    12,214.67/18,324.44 = 3,894.42/x
  3. Step 3: Cross multiply
    12,214.67x = 18,324.44 × 3,894.42
  4. Step 4: Simplify right side
    12,214.67x = 71,363,046.15
  5. Step 5: Solve for x
    x = 71,363,046.15/12,214.67
  6. Step 6: Final answer
    x = 5,842.40

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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.