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Finding the Fourth Proportional to 12,665.38, 18,998.07 and 3,431.38

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Solution

The fourth proportional to 12,665.38, 18,998.07 and 3,431.38 is: 5,147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.38 : 18,998.07 = 3,431.38 : x
  2. Step 2: Convert to fraction form
    12,665.38/18,998.07 = 3,431.38/x
  3. Step 3: Cross multiply
    12,665.38x = 18,998.07 × 3,431.38
  4. Step 4: Simplify right side
    12,665.38x = 65,189,485.29
  5. Step 5: Solve for x
    x = 65,189,485.29/12,665.38
  6. Step 6: Final answer
    x = 5,147.06

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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.