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Finding the Fourth Proportional to 22,761.38, 34,142.04 and 7,179

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Solution

The fourth proportional to 22,761.38, 34,142.04 and 7,179 is: 10,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,761.38 : 34,142.04 = 7,179 : x
  2. Step 2: Convert to fraction form
    22,761.38/34,142.04 = 7,179/x
  3. Step 3: Cross multiply
    22,761.38x = 34,142.04 × 7,179
  4. Step 4: Simplify right side
    22,761.38x = 245,105,705.16
  5. Step 5: Solve for x
    x = 245,105,705.16/22,761.38
  6. Step 6: Final answer
    x = 10,768.49

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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.