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Finding the Fourth Proportional to 26,498.70, 39,749.40 and 6,777.42

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Solution

The fourth proportional to 26,498.70, 39,749.40 and 6,777.42 is: 10,166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,498.70 : 39,749.40 = 6,777.42 : x
  2. Step 2: Convert to fraction form
    26,498.70/39,749.40 = 6,777.42/x
  3. Step 3: Cross multiply
    26,498.70x = 39,749.40 × 6,777.42
  4. Step 4: Simplify right side
    26,498.70x = 269,398,378.55
  5. Step 5: Solve for x
    x = 269,398,378.55/26,498.70
  6. Step 6: Final answer
    x = 10,166.48

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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.