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Finding the Fourth Proportional to 12,214.31, 18,317.79 and 5,194.26

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Solution

The fourth proportional to 12,214.31, 18,317.79 and 5,194.26 is: 7,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.31 : 18,317.79 = 5,194.26 : x
  2. Step 2: Convert to fraction form
    12,214.31/18,317.79 = 5,194.26/x
  3. Step 3: Cross multiply
    12,214.31x = 18,317.79 × 5,194.26
  4. Step 4: Simplify right side
    12,214.31x = 95,147,363.89
  5. Step 5: Solve for x
    x = 95,147,363.89/12,214.31
  6. Step 6: Final answer
    x = 7,789.83

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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.