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Finding the Fourth Proportional to 21,270.57, 31,910.41 and 6,480.68

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Solution

The fourth proportional to 21,270.57, 31,910.41 and 6,480.68 is: 9,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,270.57 : 31,910.41 = 6,480.68 : x
  2. Step 2: Convert to fraction form
    21,270.57/31,910.41 = 6,480.68/x
  3. Step 3: Cross multiply
    21,270.57x = 31,910.41 × 6,480.68
  4. Step 4: Simplify right side
    21,270.57x = 206,801,155.88
  5. Step 5: Solve for x
    x = 206,801,155.88/21,270.57
  6. Step 6: Final answer
    x = 9,722.41

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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.