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Finding the Fourth Proportional to 12,667.56, 17,481.12 and 7,002.70

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Solution

The fourth proportional to 12,667.56, 17,481.12 and 7,002.70 is: 9,663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667.56 : 17,481.12 = 7,002.70 : x
  2. Step 2: Convert to fraction form
    12,667.56/17,481.12 = 7,002.70/x
  3. Step 3: Cross multiply
    12,667.56x = 17,481.12 × 7,002.70
  4. Step 4: Simplify right side
    12,667.56x = 122,415,039.02
  5. Step 5: Solve for x
    x = 122,415,039.02/12,667.56
  6. Step 6: Final answer
    x = 9,663.66

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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.