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Finding the Fourth Proportional to 12,138.77, 18,195.18 and 8,665.49

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Solution

The fourth proportional to 12,138.77, 18,195.18 and 8,665.49 is: 12,988.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.77 : 18,195.18 = 8,665.49 : x
  2. Step 2: Convert to fraction form
    12,138.77/18,195.18 = 8,665.49/x
  3. Step 3: Cross multiply
    12,138.77x = 18,195.18 × 8,665.49
  4. Step 4: Simplify right side
    12,138.77x = 157,670,059.36
  5. Step 5: Solve for x
    x = 157,670,059.36/12,138.77
  6. Step 6: Final answer
    x = 12,988.97

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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.