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Finding the Fourth Proportional to 13,202.16, 18,217.08 and 8,234.16

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Solution

The fourth proportional to 13,202.16, 18,217.08 and 8,234.16 is: 11,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.16 : 18,217.08 = 8,234.16 : x
  2. Step 2: Convert to fraction form
    13,202.16/18,217.08 = 8,234.16/x
  3. Step 3: Cross multiply
    13,202.16x = 18,217.08 × 8,234.16
  4. Step 4: Simplify right side
    13,202.16x = 150,002,351.45
  5. Step 5: Solve for x
    x = 150,002,351.45/13,202.16
  6. Step 6: Final answer
    x = 11,361.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.