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Finding the Fourth Proportional to 25,778.31, 38,843.07 and 21,200.83

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Solution

The fourth proportional to 25,778.31, 38,843.07 and 21,200.83 is: 31,945.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,778.31 : 38,843.07 = 21,200.83 : x
  2. Step 2: Convert to fraction form
    25,778.31/38,843.07 = 21,200.83/x
  3. Step 3: Cross multiply
    25,778.31x = 38,843.07 × 21,200.83
  4. Step 4: Simplify right side
    25,778.31x = 823,505,323.75
  5. Step 5: Solve for x
    x = 823,505,323.75/25,778.31
  6. Step 6: Final answer
    x = 31,945.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.