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Finding the Fourth Proportional to 21,230.46, 31,850.37 and 8,082.90

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Solution

The fourth proportional to 21,230.46, 31,850.37 and 8,082.90 is: 12,126.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,230.46 : 31,850.37 = 8,082.90 : x
  2. Step 2: Convert to fraction form
    21,230.46/31,850.37 = 8,082.90/x
  3. Step 3: Cross multiply
    21,230.46x = 31,850.37 × 8,082.90
  4. Step 4: Simplify right side
    21,230.46x = 257,443,355.67
  5. Step 5: Solve for x
    x = 257,443,355.67/21,230.46
  6. Step 6: Final answer
    x = 12,126.13

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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.