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Finding the Fourth Proportional to 20,819.50, 31,229.64 and 6,779.47

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Solution

The fourth proportional to 20,819.50, 31,229.64 and 6,779.47 is: 10,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,819.50 : 31,229.64 = 6,779.47 : x
  2. Step 2: Convert to fraction form
    20,819.50/31,229.64 = 6,779.47/x
  3. Step 3: Cross multiply
    20,819.50x = 31,229.64 × 6,779.47
  4. Step 4: Simplify right side
    20,819.50x = 211,720,407.49
  5. Step 5: Solve for x
    x = 211,720,407.49/20,819.50
  6. Step 6: Final answer
    x = 10,169.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.