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Finding the Fourth Proportional to 13,198.83, 18,214.29 and 7,230.37

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Solution

The fourth proportional to 13,198.83, 18,214.29 and 7,230.37 is: 9,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.83 : 18,214.29 = 7,230.37 : x
  2. Step 2: Convert to fraction form
    13,198.83/18,214.29 = 7,230.37/x
  3. Step 3: Cross multiply
    13,198.83x = 18,214.29 × 7,230.37
  4. Step 4: Simplify right side
    13,198.83x = 131,696,077.75
  5. Step 5: Solve for x
    x = 131,696,077.75/13,198.83
  6. Step 6: Final answer
    x = 9,977.86

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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.