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Finding the Fourth Proportional to 12,367.49, 18,555.33 and 8,223.80

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Solution

The fourth proportional to 12,367.49, 18,555.33 and 8,223.80 is: 12,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.49 : 18,555.33 = 8,223.80 : x
  2. Step 2: Convert to fraction form
    12,367.49/18,555.33 = 8,223.80/x
  3. Step 3: Cross multiply
    12,367.49x = 18,555.33 × 8,223.80
  4. Step 4: Simplify right side
    12,367.49x = 152,595,371.22
  5. Step 5: Solve for x
    x = 152,595,371.22/12,367.49
  6. Step 6: Final answer
    x = 12,338.43

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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.