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Finding the Fourth Proportional to 22,948.38, 31,665.74 and 12,876.44

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Solution

The fourth proportional to 22,948.38, 31,665.74 and 12,876.44 is: 17,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,948.38 : 31,665.74 = 12,876.44 : x
  2. Step 2: Convert to fraction form
    22,948.38/31,665.74 = 12,876.44/x
  3. Step 3: Cross multiply
    22,948.38x = 31,665.74 × 12,876.44
  4. Step 4: Simplify right side
    22,948.38x = 407,741,778.45
  5. Step 5: Solve for x
    x = 407,741,778.45/22,948.38
  6. Step 6: Final answer
    x = 17,767.78

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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.