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Finding the Fourth Proportional to 20,884.14, 28,819.72 and 11,809.38

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Solution

The fourth proportional to 20,884.14, 28,819.72 and 11,809.38 is: 16,296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,884.14 : 28,819.72 = 11,809.38 : x
  2. Step 2: Convert to fraction form
    20,884.14/28,819.72 = 11,809.38/x
  3. Step 3: Cross multiply
    20,884.14x = 28,819.72 × 11,809.38
  4. Step 4: Simplify right side
    20,884.14x = 340,343,140.50
  5. Step 5: Solve for x
    x = 340,343,140.50/20,884.14
  6. Step 6: Final answer
    x = 16,296.73

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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.