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Finding the Fourth Proportional to 21,234.29, 31,847.18 and 20,180.48

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Solution

The fourth proportional to 21,234.29, 31,847.18 and 20,180.48 is: 30,266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.29 : 31,847.18 = 20,180.48 : x
  2. Step 2: Convert to fraction form
    21,234.29/31,847.18 = 20,180.48/x
  3. Step 3: Cross multiply
    21,234.29x = 31,847.18 × 20,180.48
  4. Step 4: Simplify right side
    21,234.29x = 642,691,118.91
  5. Step 5: Solve for x
    x = 642,691,118.91/21,234.29
  6. Step 6: Final answer
    x = 30,266.67

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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.