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Finding the Fourth Proportional to 20,861.31, 31,105.87 and 18,543.09

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Solution

The fourth proportional to 20,861.31, 31,105.87 and 18,543.09 is: 27,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,861.31 : 31,105.87 = 18,543.09 : x
  2. Step 2: Convert to fraction form
    20,861.31/31,105.87 = 18,543.09/x
  3. Step 3: Cross multiply
    20,861.31x = 31,105.87 × 18,543.09
  4. Step 4: Simplify right side
    20,861.31x = 576,798,946.94
  5. Step 5: Solve for x
    x = 576,798,946.94/20,861.31
  6. Step 6: Final answer
    x = 27,649.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.