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Finding the Fourth Proportional to 20,660, 31,102.42 and 18,822.92

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Solution

The fourth proportional to 20,660, 31,102.42 and 18,822.92 is: 28,336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,660 : 31,102.42 = 18,822.92 : x
  2. Step 2: Convert to fraction form
    20,660/31,102.42 = 18,822.92/x
  3. Step 3: Cross multiply
    20,660x = 31,102.42 × 18,822.92
  4. Step 4: Simplify right side
    20,660x = 585,438,363.47
  5. Step 5: Solve for x
    x = 585,438,363.47/20,660
  6. Step 6: Final answer
    x = 28,336.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.