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Finding the Fourth Proportional to 13,198.73, 18,214.40 and 7,230.65

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Solution

The fourth proportional to 13,198.73, 18,214.40 and 7,230.65 is: 9,978.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.73 : 18,214.40 = 7,230.65 : x
  2. Step 2: Convert to fraction form
    13,198.73/18,214.40 = 7,230.65/x
  3. Step 3: Cross multiply
    13,198.73x = 18,214.40 × 7,230.65
  4. Step 4: Simplify right side
    13,198.73x = 131,701,824.13
  5. Step 5: Solve for x
    x = 131,701,824.13/13,198.73
  6. Step 6: Final answer
    x = 9,978.37

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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.