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Finding the Fourth Proportional to 21,198.30, 31,797.45 and 11,982.30

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Solution

The fourth proportional to 21,198.30, 31,797.45 and 11,982.30 is: 17,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,198.30 : 31,797.45 = 11,982.30 : x
  2. Step 2: Convert to fraction form
    21,198.30/31,797.45 = 11,982.30/x
  3. Step 3: Cross multiply
    21,198.30x = 31,797.45 × 11,982.30
  4. Step 4: Simplify right side
    21,198.30x = 381,006,585.14
  5. Step 5: Solve for x
    x = 381,006,585.14/21,198.30
  6. Step 6: Final answer
    x = 17,973.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.