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Finding the Fourth Proportional to 20,861.92, 31,106.80 and 18,543.70

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Solution

The fourth proportional to 20,861.92, 31,106.80 and 18,543.70 is: 27,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,861.92 : 31,106.80 = 18,543.70 : x
  2. Step 2: Convert to fraction form
    20,861.92/31,106.80 = 18,543.70/x
  3. Step 3: Cross multiply
    20,861.92x = 31,106.80 × 18,543.70
  4. Step 4: Simplify right side
    20,861.92x = 576,835,167.16
  5. Step 5: Solve for x
    x = 576,835,167.16/20,861.92
  6. Step 6: Final answer
    x = 27,650.15

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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.