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Finding the Fourth Proportional to 12,667.46, 17,480.97 and 7,078.46

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Solution

The fourth proportional to 12,667.46, 17,480.97 and 7,078.46 is: 9,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667.46 : 17,480.97 = 7,078.46 : x
  2. Step 2: Convert to fraction form
    12,667.46/17,480.97 = 7,078.46/x
  3. Step 3: Cross multiply
    12,667.46x = 17,480.97 × 7,078.46
  4. Step 4: Simplify right side
    12,667.46x = 123,738,346.91
  5. Step 5: Solve for x
    x = 123,738,346.91/12,667.46
  6. Step 6: Final answer
    x = 9,768.21

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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.