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Finding the Fourth Proportional to 22,275.80, 33,413.70 and 9,137.60

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Solution

The fourth proportional to 22,275.80, 33,413.70 and 9,137.60 is: 13,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,275.80 : 33,413.70 = 9,137.60 : x
  2. Step 2: Convert to fraction form
    22,275.80/33,413.70 = 9,137.60/x
  3. Step 3: Cross multiply
    22,275.80x = 33,413.70 × 9,137.60
  4. Step 4: Simplify right side
    22,275.80x = 305,321,025.12
  5. Step 5: Solve for x
    x = 305,321,025.12/22,275.80
  6. Step 6: Final answer
    x = 13,706.40

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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.