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Finding the Fourth Proportional to 22,498.72, 33,768.94 and 11,413.26

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Solution

The fourth proportional to 22,498.72, 33,768.94 and 11,413.26 is: 17,130.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,498.72 : 33,768.94 = 11,413.26 : x
  2. Step 2: Convert to fraction form
    22,498.72/33,768.94 = 11,413.26/x
  3. Step 3: Cross multiply
    22,498.72x = 33,768.94 × 11,413.26
  4. Step 4: Simplify right side
    22,498.72x = 385,413,692.14
  5. Step 5: Solve for x
    x = 385,413,692.14/22,498.72
  6. Step 6: Final answer
    x = 17,130.47

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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.