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Finding the Fourth Proportional to 12,433.41, 18,636.57 and 6,198.03

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Solution

The fourth proportional to 12,433.41, 18,636.57 and 6,198.03 is: 9,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.41 : 18,636.57 = 6,198.03 : x
  2. Step 2: Convert to fraction form
    12,433.41/18,636.57 = 6,198.03/x
  3. Step 3: Cross multiply
    12,433.41x = 18,636.57 × 6,198.03
  4. Step 4: Simplify right side
    12,433.41x = 115,510,019.96
  5. Step 5: Solve for x
    x = 115,510,019.96/12,433.41
  6. Step 6: Final answer
    x = 9,290.29

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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.