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Finding the Fourth Proportional to 20,669.50, 31,004.25 and 6,819.58

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Solution

The fourth proportional to 20,669.50, 31,004.25 and 6,819.58 is: 10,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,669.50 : 31,004.25 = 6,819.58 : x
  2. Step 2: Convert to fraction form
    20,669.50/31,004.25 = 6,819.58/x
  3. Step 3: Cross multiply
    20,669.50x = 31,004.25 × 6,819.58
  4. Step 4: Simplify right side
    20,669.50x = 211,435,963.22
  5. Step 5: Solve for x
    x = 211,435,963.22/20,669.50
  6. Step 6: Final answer
    x = 10,229.37

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Why These Related Problems?

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