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Finding the Fourth Proportional to 12,584.70, 17,372.16 and 8,497.26

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Solution

The fourth proportional to 12,584.70, 17,372.16 and 8,497.26 is: 11,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.70 : 17,372.16 = 8,497.26 : x
  2. Step 2: Convert to fraction form
    12,584.70/17,372.16 = 8,497.26/x
  3. Step 3: Cross multiply
    12,584.70x = 17,372.16 × 8,497.26
  4. Step 4: Simplify right side
    12,584.70x = 147,615,760.28
  5. Step 5: Solve for x
    x = 147,615,760.28/12,584.70
  6. Step 6: Final answer
    x = 11,729.78

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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.