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Finding the Fourth Proportional to 12,231.80, 16,874.09 and 8,254.19

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Solution

The fourth proportional to 12,231.80, 16,874.09 and 8,254.19 is: 11,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.80 : 16,874.09 = 8,254.19 : x
  2. Step 2: Convert to fraction form
    12,231.80/16,874.09 = 8,254.19/x
  3. Step 3: Cross multiply
    12,231.80x = 16,874.09 × 8,254.19
  4. Step 4: Simplify right side
    12,231.80x = 139,281,945.85
  5. Step 5: Solve for x
    x = 139,281,945.85/12,231.80
  6. Step 6: Final answer
    x = 11,386.87

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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.