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Finding the Fourth Proportional to 22,272, 33,413.12 and 7,680

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Solution

The fourth proportional to 22,272, 33,413.12 and 7,680 is: 11,521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,272 : 33,413.12 = 7,680 : x
  2. Step 2: Convert to fraction form
    22,272/33,413.12 = 7,680/x
  3. Step 3: Cross multiply
    22,272x = 33,413.12 × 7,680
  4. Step 4: Simplify right side
    22,272x = 256,612,761.60
  5. Step 5: Solve for x
    x = 256,612,761.60/22,272
  6. Step 6: Final answer
    x = 11,521.77

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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.