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Finding the Fourth Proportional to 22,758.80, 34,138.20 and 22,413.20

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Solution

The fourth proportional to 22,758.80, 34,138.20 and 22,413.20 is: 33,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.80 : 34,138.20 = 22,413.20 : x
  2. Step 2: Convert to fraction form
    22,758.80/34,138.20 = 22,413.20/x
  3. Step 3: Cross multiply
    22,758.80x = 34,138.20 × 22,413.20
  4. Step 4: Simplify right side
    22,758.80x = 765,146,304.24
  5. Step 5: Solve for x
    x = 765,146,304.24/22,758.80
  6. Step 6: Final answer
    x = 33,619.80

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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.