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Finding the Fourth Proportional to 12,665.63, 18,998.44 and 3,431.63

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Solution

The fourth proportional to 12,665.63, 18,998.44 and 3,431.63 is: 5,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.63 : 18,998.44 = 3,431.63 : x
  2. Step 2: Convert to fraction form
    12,665.63/18,998.44 = 3,431.63/x
  3. Step 3: Cross multiply
    12,665.63x = 18,998.44 × 3,431.63
  4. Step 4: Simplify right side
    12,665.63x = 65,195,513.09
  5. Step 5: Solve for x
    x = 65,195,513.09/12,665.63
  6. Step 6: Final answer
    x = 5,147.44

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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.