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Finding the Fourth Proportional to 12,667.64, 17,481.37 and 7,078.64

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Solution

The fourth proportional to 12,667.64, 17,481.37 and 7,078.64 is: 9,768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667.64 : 17,481.37 = 7,078.64 : x
  2. Step 2: Convert to fraction form
    12,667.64/17,481.37 = 7,078.64/x
  3. Step 3: Cross multiply
    12,667.64x = 17,481.37 × 7,078.64
  4. Step 4: Simplify right side
    12,667.64x = 123,744,331.44
  5. Step 5: Solve for x
    x = 123,744,331.44/12,667.64
  6. Step 6: Final answer
    x = 9,768.54

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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.