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Finding the Fourth Proportional to 12,738.44, 17,584.98 and 8,496.56

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Solution

The fourth proportional to 12,738.44, 17,584.98 and 8,496.56 is: 11,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,738.44 : 17,584.98 = 8,496.56 : x
  2. Step 2: Convert to fraction form
    12,738.44/17,584.98 = 8,496.56/x
  3. Step 3: Cross multiply
    12,738.44x = 17,584.98 × 8,496.56
  4. Step 4: Simplify right side
    12,738.44x = 149,411,837.67
  5. Step 5: Solve for x
    x = 149,411,837.67/12,738.44
  6. Step 6: Final answer
    x = 11,729.21

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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.