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Finding the Fourth Proportional to 12,790.78, 17,651.31 and 7,414.25

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Solution

The fourth proportional to 12,790.78, 17,651.31 and 7,414.25 is: 10,231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,790.78 : 17,651.31 = 7,414.25 : x
  2. Step 2: Convert to fraction form
    12,790.78/17,651.31 = 7,414.25/x
  3. Step 3: Cross multiply
    12,790.78x = 17,651.31 × 7,414.25
  4. Step 4: Simplify right side
    12,790.78x = 130,871,229.25
  5. Step 5: Solve for x
    x = 130,871,229.25/12,790.78
  6. Step 6: Final answer
    x = 10,231.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.