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Finding the Fourth Proportional to 22,413.33, 33,624.86 and 6,832.17

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Solution

The fourth proportional to 22,413.33, 33,624.86 and 6,832.17 is: 10,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,413.33 : 33,624.86 = 6,832.17 : x
  2. Step 2: Convert to fraction form
    22,413.33/33,624.86 = 6,832.17/x
  3. Step 3: Cross multiply
    22,413.33x = 33,624.86 × 6,832.17
  4. Step 4: Simplify right side
    22,413.33x = 229,730,725.59
  5. Step 5: Solve for x
    x = 229,730,725.59/22,413.33
  6. Step 6: Final answer
    x = 10,249.74

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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.