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Finding the Fourth Proportional to 12,584.72, 17,372.21 and 8,497.29

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Solution

The fourth proportional to 12,584.72, 17,372.21 and 8,497.29 is: 11,729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.72 : 17,372.21 = 8,497.29 : x
  2. Step 2: Convert to fraction form
    12,584.72/17,372.21 = 8,497.29/x
  3. Step 3: Cross multiply
    12,584.72x = 17,372.21 × 8,497.29
  4. Step 4: Simplify right side
    12,584.72x = 147,616,728.97
  5. Step 5: Solve for x
    x = 147,616,728.97/12,584.72
  6. Step 6: Final answer
    x = 11,729.84

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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.