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Finding the Fourth Proportional to 18,413.38, 27,633.84 and 7,170.50

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Solution

The fourth proportional to 18,413.38, 27,633.84 and 7,170.50 is: 10,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,413.38 : 27,633.84 = 7,170.50 : x
  2. Step 2: Convert to fraction form
    18,413.38/27,633.84 = 7,170.50/x
  3. Step 3: Cross multiply
    18,413.38x = 27,633.84 × 7,170.50
  4. Step 4: Simplify right side
    18,413.38x = 198,148,449.72
  5. Step 5: Solve for x
    x = 198,148,449.72/18,413.38
  6. Step 6: Final answer
    x = 10,761.11

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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.