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Finding the Fourth Proportional to 20,131, 30,201.86 and 6,983.35

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Solution

The fourth proportional to 20,131, 30,201.86 and 6,983.35 is: 10,476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131 : 30,201.86 = 6,983.35 : x
  2. Step 2: Convert to fraction form
    20,131/30,201.86 = 6,983.35/x
  3. Step 3: Cross multiply
    20,131x = 30,201.86 × 6,983.35
  4. Step 4: Simplify right side
    20,131x = 210,910,159.03
  5. Step 5: Solve for x
    x = 210,910,159.03/20,131
  6. Step 6: Final answer
    x = 10,476.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.