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Finding the Fourth Proportional to 22,413.09, 33,624.69 and 6,832.29

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Solution

The fourth proportional to 22,413.09, 33,624.69 and 6,832.29 is: 10,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,413.09 : 33,624.69 = 6,832.29 : x
  2. Step 2: Convert to fraction form
    22,413.09/33,624.69 = 6,832.29/x
  3. Step 3: Cross multiply
    22,413.09x = 33,624.69 × 6,832.29
  4. Step 4: Simplify right side
    22,413.09x = 229,733,633.24
  5. Step 5: Solve for x
    x = 229,733,633.24/22,413.09
  6. Step 6: Final answer
    x = 10,249.98

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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.