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Finding the Fourth Proportional to 22,413.38, 30,930.46 and 12,477.38

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Solution

The fourth proportional to 22,413.38, 30,930.46 and 12,477.38 is: 17,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,413.38 : 30,930.46 = 12,477.38 : x
  2. Step 2: Convert to fraction form
    22,413.38/30,930.46 = 12,477.38/x
  3. Step 3: Cross multiply
    22,413.38x = 30,930.46 × 12,477.38
  4. Step 4: Simplify right side
    22,413.38x = 385,930,917.15
  5. Step 5: Solve for x
    x = 385,930,917.15/22,413.38
  6. Step 6: Final answer
    x = 17,218.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.