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Finding the Fourth Proportional to 26,414.78, 39,626.01 and 7,692.44

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Solution

The fourth proportional to 26,414.78, 39,626.01 and 7,692.44 is: 11,539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,414.78 : 39,626.01 = 7,692.44 : x
  2. Step 2: Convert to fraction form
    26,414.78/39,626.01 = 7,692.44/x
  3. Step 3: Cross multiply
    26,414.78x = 39,626.01 × 7,692.44
  4. Step 4: Simplify right side
    26,414.78x = 304,820,506.23
  5. Step 5: Solve for x
    x = 304,820,506.23/26,414.78
  6. Step 6: Final answer
    x = 11,539.77

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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.