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Finding the Fourth Proportional to 12,138.68, 18,194.36 and 6,198.95

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Solution

The fourth proportional to 12,138.68, 18,194.36 and 6,198.95 is: 9,291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.68 : 18,194.36 = 6,198.95 : x
  2. Step 2: Convert to fraction form
    12,138.68/18,194.36 = 6,198.95/x
  3. Step 3: Cross multiply
    12,138.68x = 18,194.36 × 6,198.95
  4. Step 4: Simplify right side
    12,138.68x = 112,785,942.41
  5. Step 5: Solve for x
    x = 112,785,942.41/12,138.68
  6. Step 6: Final answer
    x = 9,291.45

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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.