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Finding the Fourth Proportional to 12,706.56, 17,529.12 and 7,993.44

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Solution

The fourth proportional to 12,706.56, 17,529.12 and 7,993.44 is: 11,027.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.56 : 17,529.12 = 7,993.44 : x
  2. Step 2: Convert to fraction form
    12,706.56/17,529.12 = 7,993.44/x
  3. Step 3: Cross multiply
    12,706.56x = 17,529.12 × 7,993.44
  4. Step 4: Simplify right side
    12,706.56x = 140,117,968.97
  5. Step 5: Solve for x
    x = 140,117,968.97/12,706.56
  6. Step 6: Final answer
    x = 11,027.21

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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.