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Finding the Fourth Proportional to 20,794.22, 28,694.76 and 11,842.10

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Solution

The fourth proportional to 20,794.22, 28,694.76 and 11,842.10 is: 16,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,794.22 : 28,694.76 = 11,842.10 : x
  2. Step 2: Convert to fraction form
    20,794.22/28,694.76 = 11,842.10/x
  3. Step 3: Cross multiply
    20,794.22x = 28,694.76 × 11,842.10
  4. Step 4: Simplify right side
    20,794.22x = 339,806,217.40
  5. Step 5: Solve for x
    x = 339,806,217.40/20,794.22
  6. Step 6: Final answer
    x = 16,341.38

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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.