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Finding the Fourth Proportional to 12,177.56, 18,266.22 and 3,857.55

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Solution

The fourth proportional to 12,177.56, 18,266.22 and 3,857.55 is: 5,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.56 : 18,266.22 = 3,857.55 : x
  2. Step 2: Convert to fraction form
    12,177.56/18,266.22 = 3,857.55/x
  3. Step 3: Cross multiply
    12,177.56x = 18,266.22 × 3,857.55
  4. Step 4: Simplify right side
    12,177.56x = 70,462,856.96
  5. Step 5: Solve for x
    x = 70,462,856.96/12,177.56
  6. Step 6: Final answer
    x = 5,786.29

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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.