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Finding the Fourth Proportional to 12,076.30, 18,099.87 and 8,781.22

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Solution

The fourth proportional to 12,076.30, 18,099.87 and 8,781.22 is: 13,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.30 : 18,099.87 = 8,781.22 : x
  2. Step 2: Convert to fraction form
    12,076.30/18,099.87 = 8,781.22/x
  3. Step 3: Cross multiply
    12,076.30x = 18,099.87 × 8,781.22
  4. Step 4: Simplify right side
    12,076.30x = 158,938,940.44
  5. Step 5: Solve for x
    x = 158,938,940.44/12,076.30
  6. Step 6: Final answer
    x = 13,161.23

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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.