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Finding the Fourth Proportional to 21,876.75, 30,189.92 and 11,940.75

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Solution

The fourth proportional to 21,876.75, 30,189.92 and 11,940.75 is: 16,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876.75 : 30,189.92 = 11,940.75 : x
  2. Step 2: Convert to fraction form
    21,876.75/30,189.92 = 11,940.75/x
  3. Step 3: Cross multiply
    21,876.75x = 30,189.92 × 11,940.75
  4. Step 4: Simplify right side
    21,876.75x = 360,490,227.54
  5. Step 5: Solve for x
    x = 360,490,227.54/21,876.75
  6. Step 6: Final answer
    x = 16,478.24

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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.