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Finding the Fourth Proportional to 22,305.38, 30,781.38 and 12,873.94

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Solution

The fourth proportional to 22,305.38, 30,781.38 and 12,873.94 is: 17,766.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,305.38 : 30,781.38 = 12,873.94 : x
  2. Step 2: Convert to fraction form
    22,305.38/30,781.38 = 12,873.94/x
  3. Step 3: Cross multiply
    22,305.38x = 30,781.38 × 12,873.94
  4. Step 4: Simplify right side
    22,305.38x = 396,277,485.33
  5. Step 5: Solve for x
    x = 396,277,485.33/22,305.38
  6. Step 6: Final answer
    x = 17,766.00

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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.