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Finding the Fourth Proportional to 25,912.18, 38,873.94 and 8,383.78

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Solution

The fourth proportional to 25,912.18, 38,873.94 and 8,383.78 is: 12,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,912.18 : 38,873.94 = 8,383.78 : x
  2. Step 2: Convert to fraction form
    25,912.18/38,873.94 = 8,383.78/x
  3. Step 3: Cross multiply
    25,912.18x = 38,873.94 × 8,383.78
  4. Step 4: Simplify right side
    25,912.18x = 325,910,560.69
  5. Step 5: Solve for x
    x = 325,910,560.69/25,912.18
  6. Step 6: Final answer
    x = 12,577.50

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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.