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Finding the Fourth Proportional to 21,757.27, 30,022.38 and 12,194.95

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Solution

The fourth proportional to 21,757.27, 30,022.38 and 12,194.95 is: 16,827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,757.27 : 30,022.38 = 12,194.95 : x
  2. Step 2: Convert to fraction form
    21,757.27/30,022.38 = 12,194.95/x
  3. Step 3: Cross multiply
    21,757.27x = 30,022.38 × 12,194.95
  4. Step 4: Simplify right side
    21,757.27x = 366,121,422.98
  5. Step 5: Solve for x
    x = 366,121,422.98/21,757.27
  6. Step 6: Final answer
    x = 16,827.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.