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Finding the Fourth Proportional to 20,733.50, 31,105.11 and 6,882.50

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Solution

The fourth proportional to 20,733.50, 31,105.11 and 6,882.50 is: 10,325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,733.50 : 31,105.11 = 6,882.50 : x
  2. Step 2: Convert to fraction form
    20,733.50/31,105.11 = 6,882.50/x
  3. Step 3: Cross multiply
    20,733.50x = 31,105.11 × 6,882.50
  4. Step 4: Simplify right side
    20,733.50x = 214,080,919.58
  5. Step 5: Solve for x
    x = 214,080,919.58/20,733.50
  6. Step 6: Final answer
    x = 10,325.36

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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.