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Finding the Fourth Proportional to 20,212.75, 30,311.72 and 7,726.60

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Solution

The fourth proportional to 20,212.75, 30,311.72 and 7,726.60 is: 11,587.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212.75 : 30,311.72 = 7,726.60 : x
  2. Step 2: Convert to fraction form
    20,212.75/30,311.72 = 7,726.60/x
  3. Step 3: Cross multiply
    20,212.75x = 30,311.72 × 7,726.60
  4. Step 4: Simplify right side
    20,212.75x = 234,206,535.75
  5. Step 5: Solve for x
    x = 234,206,535.75/20,212.75
  6. Step 6: Final answer
    x = 11,587.07

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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.