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Finding the Fourth Proportional to 26,493.31, 39,739.84 and 6,771.84

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Solution

The fourth proportional to 26,493.31, 39,739.84 and 6,771.84 is: 10,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,493.31 : 39,739.84 = 6,771.84 : x
  2. Step 2: Convert to fraction form
    26,493.31/39,739.84 = 6,771.84/x
  3. Step 3: Cross multiply
    26,493.31x = 39,739.84 × 6,771.84
  4. Step 4: Simplify right side
    26,493.31x = 269,111,838.11
  5. Step 5: Solve for x
    x = 269,111,838.11/26,493.31
  6. Step 6: Final answer
    x = 10,157.73

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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.