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Finding the Fourth Proportional to 22,264.52, 33,413.70 and 8,237.82

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Solution

The fourth proportional to 22,264.52, 33,413.70 and 8,237.82 is: 12,362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264.52 : 33,413.70 = 8,237.82 : x
  2. Step 2: Convert to fraction form
    22,264.52/33,413.70 = 8,237.82/x
  3. Step 3: Cross multiply
    22,264.52x = 33,413.70 × 8,237.82
  4. Step 4: Simplify right side
    22,264.52x = 275,256,046.13
  5. Step 5: Solve for x
    x = 275,256,046.13/22,264.52
  6. Step 6: Final answer
    x = 12,362.99

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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.