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Finding the Fourth Proportional to 20,941.01, 31,413.04 and 7,793.38

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Solution

The fourth proportional to 20,941.01, 31,413.04 and 7,793.38 is: 11,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,941.01 : 31,413.04 = 7,793.38 : x
  2. Step 2: Convert to fraction form
    20,941.01/31,413.04 = 7,793.38/x
  3. Step 3: Cross multiply
    20,941.01x = 31,413.04 × 7,793.38
  4. Step 4: Simplify right side
    20,941.01x = 244,813,600.61
  5. Step 5: Solve for x
    x = 244,813,600.61/20,941.01
  6. Step 6: Final answer
    x = 11,690.63

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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.