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Finding the Fourth Proportional to 21,906.82, 30,231.39 and 11,970.82

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Solution

The fourth proportional to 21,906.82, 30,231.39 and 11,970.82 is: 16,519.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.82 : 30,231.39 = 11,970.82 : x
  2. Step 2: Convert to fraction form
    21,906.82/30,231.39 = 11,970.82/x
  3. Step 3: Cross multiply
    21,906.82x = 30,231.39 × 11,970.82
  4. Step 4: Simplify right side
    21,906.82x = 361,894,528.04
  5. Step 5: Solve for x
    x = 361,894,528.04/21,906.82
  6. Step 6: Final answer
    x = 16,519.72

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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.