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Finding the Fourth Proportional to 26,782.67, 36,956.20 and 14,846

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Solution

The fourth proportional to 26,782.67, 36,956.20 and 14,846 is: 20,485.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,782.67 : 36,956.20 = 14,846 : x
  2. Step 2: Convert to fraction form
    26,782.67/36,956.20 = 14,846/x
  3. Step 3: Cross multiply
    26,782.67x = 36,956.20 × 14,846
  4. Step 4: Simplify right side
    26,782.67x = 548,651,745.20
  5. Step 5: Solve for x
    x = 548,651,745.20/26,782.67
  6. Step 6: Final answer
    x = 20,485.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.