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Finding the Fourth Proportional to 20,778.50, 31,169.38 and 6,927.50

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Solution

The fourth proportional to 20,778.50, 31,169.38 and 6,927.50 is: 10,391.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778.50 : 31,169.38 = 6,927.50 : x
  2. Step 2: Convert to fraction form
    20,778.50/31,169.38 = 6,927.50/x
  3. Step 3: Cross multiply
    20,778.50x = 31,169.38 × 6,927.50
  4. Step 4: Simplify right side
    20,778.50x = 215,925,879.95
  5. Step 5: Solve for x
    x = 215,925,879.95/20,778.50
  6. Step 6: Final answer
    x = 10,391.79

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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.