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Finding the Fourth Proportional to 26,311.40, 39,469.62 and 8,782.46

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Solution

The fourth proportional to 26,311.40, 39,469.62 and 8,782.46 is: 13,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,311.40 : 39,469.62 = 8,782.46 : x
  2. Step 2: Convert to fraction form
    26,311.40/39,469.62 = 8,782.46/x
  3. Step 3: Cross multiply
    26,311.40x = 39,469.62 × 8,782.46
  4. Step 4: Simplify right side
    26,311.40x = 346,640,358.87
  5. Step 5: Solve for x
    x = 346,640,358.87/26,311.40
  6. Step 6: Final answer
    x = 13,174.53

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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.