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Finding the Fourth Proportional to 13,202.62, 18,204.69 and 8,416.18

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Solution

The fourth proportional to 13,202.62, 18,204.69 and 8,416.18 is: 11,604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.62 : 18,204.69 = 8,416.18 : x
  2. Step 2: Convert to fraction form
    13,202.62/18,204.69 = 8,416.18/x
  3. Step 3: Cross multiply
    13,202.62x = 18,204.69 × 8,416.18
  4. Step 4: Simplify right side
    13,202.62x = 153,213,947.88
  5. Step 5: Solve for x
    x = 153,213,947.88/13,202.62
  6. Step 6: Final answer
    x = 11,604.81

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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.