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Finding the Fourth Proportional to 12,143.68, 18,215.54 and 3,378.60

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Solution

The fourth proportional to 12,143.68, 18,215.54 and 3,378.60 is: 5,067.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.68 : 18,215.54 = 3,378.60 : x
  2. Step 2: Convert to fraction form
    12,143.68/18,215.54 = 3,378.60/x
  3. Step 3: Cross multiply
    12,143.68x = 18,215.54 × 3,378.60
  4. Step 4: Simplify right side
    12,143.68x = 61,543,023.44
  5. Step 5: Solve for x
    x = 61,543,023.44/12,143.68
  6. Step 6: Final answer
    x = 5,067.91

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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.