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Finding the Fourth Proportional to 17,050.26, 25,583.22 and 7,692.78

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Solution

The fourth proportional to 17,050.26, 25,583.22 and 7,692.78 is: 11,542.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,050.26 : 25,583.22 = 7,692.78 : x
  2. Step 2: Convert to fraction form
    17,050.26/25,583.22 = 7,692.78/x
  3. Step 3: Cross multiply
    17,050.26x = 25,583.22 × 7,692.78
  4. Step 4: Simplify right side
    17,050.26x = 196,806,083.15
  5. Step 5: Solve for x
    x = 196,806,083.15/17,050.26
  6. Step 6: Final answer
    x = 11,542.70

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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.