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Finding the Fourth Proportional to 22,413.34, 33,624.96 and 6,832.18

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Solution

The fourth proportional to 22,413.34, 33,624.96 and 6,832.18 is: 10,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,413.34 : 33,624.96 = 6,832.18 : x
  2. Step 2: Convert to fraction form
    22,413.34/33,624.96 = 6,832.18/x
  3. Step 3: Cross multiply
    22,413.34x = 33,624.96 × 6,832.18
  4. Step 4: Simplify right side
    22,413.34x = 229,731,779.21
  5. Step 5: Solve for x
    x = 229,731,779.21/22,413.34
  6. Step 6: Final answer
    x = 10,249.78

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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.