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Finding the Fourth Proportional to 13,202.30, 18,219.08 and 7,233.96

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Solution

The fourth proportional to 13,202.30, 18,219.08 and 7,233.96 is: 9,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.30 : 18,219.08 = 7,233.96 : x
  2. Step 2: Convert to fraction form
    13,202.30/18,219.08 = 7,233.96/x
  3. Step 3: Cross multiply
    13,202.30x = 18,219.08 × 7,233.96
  4. Step 4: Simplify right side
    13,202.30x = 131,796,039.19
  5. Step 5: Solve for x
    x = 131,796,039.19/13,202.30
  6. Step 6: Final answer
    x = 9,982.81

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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.