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Finding the Fourth Proportional to 20,882.33, 31,320.31 and 6,843.81

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Solution

The fourth proportional to 20,882.33, 31,320.31 and 6,843.81 is: 10,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,882.33 : 31,320.31 = 6,843.81 : x
  2. Step 2: Convert to fraction form
    20,882.33/31,320.31 = 6,843.81/x
  3. Step 3: Cross multiply
    20,882.33x = 31,320.31 × 6,843.81
  4. Step 4: Simplify right side
    20,882.33x = 214,350,250.78
  5. Step 5: Solve for x
    x = 214,350,250.78/20,882.33
  6. Step 6: Final answer
    x = 10,264.67

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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.