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Finding the Fourth Proportional to 12,149.70, 18,228.60 and 10,843.20

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Solution

The fourth proportional to 12,149.70, 18,228.60 and 10,843.20 is: 16,268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.70 : 18,228.60 = 10,843.20 : x
  2. Step 2: Convert to fraction form
    12,149.70/18,228.60 = 10,843.20/x
  3. Step 3: Cross multiply
    12,149.70x = 18,228.60 × 10,843.20
  4. Step 4: Simplify right side
    12,149.70x = 197,656,355.52
  5. Step 5: Solve for x
    x = 197,656,355.52/12,149.70
  6. Step 6: Final answer
    x = 16,268.41

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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.