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Finding the Fourth Proportional to 12,214.17, 18,323.69 and 3,893.92

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Solution

The fourth proportional to 12,214.17, 18,323.69 and 3,893.92 is: 5,841.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.17 : 18,323.69 = 3,893.92 : x
  2. Step 2: Convert to fraction form
    12,214.17/18,323.69 = 3,893.92/x
  3. Step 3: Cross multiply
    12,214.17x = 18,323.69 × 3,893.92
  4. Step 4: Simplify right side
    12,214.17x = 71,350,917.69
  5. Step 5: Solve for x
    x = 71,350,917.69/12,214.17
  6. Step 6: Final answer
    x = 5,841.65

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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.