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Finding the Fourth Proportional to 13,198.18, 18,213.48 and 7,230.06

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Solution

The fourth proportional to 13,198.18, 18,213.48 and 7,230.06 is: 9,977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.18 : 18,213.48 = 7,230.06 : x
  2. Step 2: Convert to fraction form
    13,198.18/18,213.48 = 7,230.06/x
  3. Step 3: Cross multiply
    13,198.18x = 18,213.48 × 7,230.06
  4. Step 4: Simplify right side
    13,198.18x = 131,684,553.21
  5. Step 5: Solve for x
    x = 131,684,553.21/13,198.18
  6. Step 6: Final answer
    x = 9,977.48

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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.