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Finding the Fourth Proportional to 21,758.97, 30,027.12 and 12,198.81

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Solution

The fourth proportional to 21,758.97, 30,027.12 and 12,198.81 is: 16,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,758.97 : 30,027.12 = 12,198.81 : x
  2. Step 2: Convert to fraction form
    21,758.97/30,027.12 = 12,198.81/x
  3. Step 3: Cross multiply
    21,758.97x = 30,027.12 × 12,198.81
  4. Step 4: Simplify right side
    21,758.97x = 366,295,131.73
  5. Step 5: Solve for x
    x = 366,295,131.73/21,758.97
  6. Step 6: Final answer
    x = 16,834.21

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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.