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Finding the Fourth Proportional to 20,882.91, 31,330.86 and 6,843.05

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Solution

The fourth proportional to 20,882.91, 31,330.86 and 6,843.05 is: 10,266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,882.91 : 31,330.86 = 6,843.05 : x
  2. Step 2: Convert to fraction form
    20,882.91/31,330.86 = 6,843.05/x
  3. Step 3: Cross multiply
    20,882.91x = 31,330.86 × 6,843.05
  4. Step 4: Simplify right side
    20,882.91x = 214,398,484.87
  5. Step 5: Solve for x
    x = 214,398,484.87/20,882.91
  6. Step 6: Final answer
    x = 10,266.70

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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.