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Finding the Fourth Proportional to 13,682.63, 18,874.73 and 9,198.68

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Solution

The fourth proportional to 13,682.63, 18,874.73 and 9,198.68 is: 12,689.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.63 : 18,874.73 = 9,198.68 : x
  2. Step 2: Convert to fraction form
    13,682.63/18,874.73 = 9,198.68/x
  3. Step 3: Cross multiply
    13,682.63x = 18,874.73 × 9,198.68
  4. Step 4: Simplify right side
    13,682.63x = 173,622,460.99
  5. Step 5: Solve for x
    x = 173,622,460.99/13,682.63
  6. Step 6: Final answer
    x = 12,689.27

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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.