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Finding the Fourth Proportional to 12,214.67, 18,324.43 and 5,194.62

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Solution

The fourth proportional to 12,214.67, 18,324.43 and 5,194.62 is: 7,792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.67 : 18,324.43 = 5,194.62 : x
  2. Step 2: Convert to fraction form
    12,214.67/18,324.43 = 5,194.62/x
  3. Step 3: Cross multiply
    12,214.67x = 18,324.43 × 5,194.62
  4. Step 4: Simplify right side
    12,214.67x = 95,188,437.58
  5. Step 5: Solve for x
    x = 95,188,437.58/12,214.67
  6. Step 6: Final answer
    x = 7,792.96

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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.