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Finding the Fourth Proportional to 12,257.01, 18,361.44 and 8,084.30

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Solution

The fourth proportional to 12,257.01, 18,361.44 and 8,084.30 is: 12,110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.01 : 18,361.44 = 8,084.30 : x
  2. Step 2: Convert to fraction form
    12,257.01/18,361.44 = 8,084.30/x
  3. Step 3: Cross multiply
    12,257.01x = 18,361.44 × 8,084.30
  4. Step 4: Simplify right side
    12,257.01x = 148,439,297.58
  5. Step 5: Solve for x
    x = 148,439,297.58/12,257.01
  6. Step 6: Final answer
    x = 12,110.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.