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Finding the Fourth Proportional to 12,266.37, 16,918.02 and 8,231.87

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Solution

The fourth proportional to 12,266.37, 16,918.02 and 8,231.87 is: 11,353.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.37 : 16,918.02 = 8,231.87 : x
  2. Step 2: Convert to fraction form
    12,266.37/16,918.02 = 8,231.87/x
  3. Step 3: Cross multiply
    12,266.37x = 16,918.02 × 8,231.87
  4. Step 4: Simplify right side
    12,266.37x = 139,266,983.59
  5. Step 5: Solve for x
    x = 139,266,983.59/12,266.37
  6. Step 6: Final answer
    x = 11,353.56

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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.