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Finding the Fourth Proportional to 13,198.24, 18,213.85 and 7,230.16

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Solution

The fourth proportional to 13,198.24, 18,213.85 and 7,230.16 is: 9,977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.24 : 18,213.85 = 7,230.16 : x
  2. Step 2: Convert to fraction form
    13,198.24/18,213.85 = 7,230.16/x
  3. Step 3: Cross multiply
    13,198.24x = 18,213.85 × 7,230.16
  4. Step 4: Simplify right side
    13,198.24x = 131,689,049.72
  5. Step 5: Solve for x
    x = 131,689,049.72/13,198.24
  6. Step 6: Final answer
    x = 9,977.77

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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.