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Finding the Fourth Proportional to 12,214.42, 18,324.06 and 5,194.38

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Solution

The fourth proportional to 12,214.42, 18,324.06 and 5,194.38 is: 7,792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.42 : 18,324.06 = 5,194.38 : x
  2. Step 2: Convert to fraction form
    12,214.42/18,324.06 = 5,194.38/x
  3. Step 3: Cross multiply
    12,214.42x = 18,324.06 × 5,194.38
  4. Step 4: Simplify right side
    12,214.42x = 95,182,130.78
  5. Step 5: Solve for x
    x = 95,182,130.78/12,214.42
  6. Step 6: Final answer
    x = 7,792.60

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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.