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Finding the Fourth Proportional to 22,764.26, 31,413.07 and 12,692.27

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Solution

The fourth proportional to 22,764.26, 31,413.07 and 12,692.27 is: 17,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,764.26 : 31,413.07 = 12,692.27 : x
  2. Step 2: Convert to fraction form
    22,764.26/31,413.07 = 12,692.27/x
  3. Step 3: Cross multiply
    22,764.26x = 31,413.07 × 12,692.27
  4. Step 4: Simplify right side
    22,764.26x = 398,703,165.97
  5. Step 5: Solve for x
    x = 398,703,165.97/22,764.26
  6. Step 6: Final answer
    x = 17,514.44

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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.