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Finding the Fourth Proportional to 22,413.96, 33,628.20 and 10,728

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Solution

The fourth proportional to 22,413.96, 33,628.20 and 10,728 is: 16,095.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,413.96 : 33,628.20 = 10,728 : x
  2. Step 2: Convert to fraction form
    22,413.96/33,628.20 = 10,728/x
  3. Step 3: Cross multiply
    22,413.96x = 33,628.20 × 10,728
  4. Step 4: Simplify right side
    22,413.96x = 360,763,329.60
  5. Step 5: Solve for x
    x = 360,763,329.60/22,413.96
  6. Step 6: Final answer
    x = 16,095.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.