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Finding the Fourth Proportional to 12,311.57, 18,467.22 and 8,353.02

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Solution

The fourth proportional to 12,311.57, 18,467.22 and 8,353.02 is: 12,529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.57 : 18,467.22 = 8,353.02 : x
  2. Step 2: Convert to fraction form
    12,311.57/18,467.22 = 8,353.02/x
  3. Step 3: Cross multiply
    12,311.57x = 18,467.22 × 8,353.02
  4. Step 4: Simplify right side
    12,311.57x = 154,257,058.00
  5. Step 5: Solve for x
    x = 154,257,058.00/12,311.57
  6. Step 6: Final answer
    x = 12,529.44

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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.