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Finding the Fourth Proportional to 12,165.37, 18,247.95 and 8,223.30

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Solution

The fourth proportional to 12,165.37, 18,247.95 and 8,223.30 is: 12,334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.37 : 18,247.95 = 8,223.30 : x
  2. Step 2: Convert to fraction form
    12,165.37/18,247.95 = 8,223.30/x
  3. Step 3: Cross multiply
    12,165.37x = 18,247.95 × 8,223.30
  4. Step 4: Simplify right side
    12,165.37x = 150,058,367.24
  5. Step 5: Solve for x
    x = 150,058,367.24/12,165.37
  6. Step 6: Final answer
    x = 12,334.88

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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.