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Finding the Fourth Proportional to 26,764.24, 40,171 and 13,626

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Solution

The fourth proportional to 26,764.24, 40,171 and 13,626 is: 20,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,764.24 : 40,171 = 13,626 : x
  2. Step 2: Convert to fraction form
    26,764.24/40,171 = 13,626/x
  3. Step 3: Cross multiply
    26,764.24x = 40,171 × 13,626
  4. Step 4: Simplify right side
    26,764.24x = 547,370,046
  5. Step 5: Solve for x
    x = 547,370,046/26,764.24
  6. Step 6: Final answer
    x = 20,451.54

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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.