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Finding the Fourth Proportional to 12,143.40, 18,214.47 and 3,378.39

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Solution

The fourth proportional to 12,143.40, 18,214.47 and 3,378.39 is: 5,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.40 : 18,214.47 = 3,378.39 : x
  2. Step 2: Convert to fraction form
    12,143.40/18,214.47 = 3,378.39/x
  3. Step 3: Cross multiply
    12,143.40x = 18,214.47 × 3,378.39
  4. Step 4: Simplify right side
    12,143.40x = 61,535,583.30
  5. Step 5: Solve for x
    x = 61,535,583.30/12,143.40
  6. Step 6: Final answer
    x = 5,067.41

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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.