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Finding the Fourth Proportional to 13,198.77, 18,214.29 and 7,230.87

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Solution

The fourth proportional to 13,198.77, 18,214.29 and 7,230.87 is: 9,978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.77 : 18,214.29 = 7,230.87 : x
  2. Step 2: Convert to fraction form
    13,198.77/18,214.29 = 7,230.87/x
  3. Step 3: Cross multiply
    13,198.77x = 18,214.29 × 7,230.87
  4. Step 4: Simplify right side
    13,198.77x = 131,705,163.13
  5. Step 5: Solve for x
    x = 131,705,163.13/13,198.77
  6. Step 6: Final answer
    x = 9,978.59

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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.