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Finding the Fourth Proportional to 21,906.75, 30,231.32 and 11,970.75

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Solution

The fourth proportional to 21,906.75, 30,231.32 and 11,970.75 is: 16,519.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.75 : 30,231.32 = 11,970.75 : x
  2. Step 2: Convert to fraction form
    21,906.75/30,231.32 = 11,970.75/x
  3. Step 3: Cross multiply
    21,906.75x = 30,231.32 × 11,970.75
  4. Step 4: Simplify right side
    21,906.75x = 361,891,514.04
  5. Step 5: Solve for x
    x = 361,891,514.04/21,906.75
  6. Step 6: Final answer
    x = 16,519.64

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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.