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Finding the Fourth Proportional to 18,202.94, 27,311.08 and 7,675.62

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Solution

The fourth proportional to 18,202.94, 27,311.08 and 7,675.62 is: 11,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,202.94 : 27,311.08 = 7,675.62 : x
  2. Step 2: Convert to fraction form
    18,202.94/27,311.08 = 7,675.62/x
  3. Step 3: Cross multiply
    18,202.94x = 27,311.08 × 7,675.62
  4. Step 4: Simplify right side
    18,202.94x = 209,629,471.87
  5. Step 5: Solve for x
    x = 209,629,471.87/18,202.94
  6. Step 6: Final answer
    x = 11,516.24

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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.