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Finding the Fourth Proportional to 21,471.48, 29,632.21 and 11,912.87

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Solution

The fourth proportional to 21,471.48, 29,632.21 and 11,912.87 is: 16,440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,471.48 : 29,632.21 = 11,912.87 : x
  2. Step 2: Convert to fraction form
    21,471.48/29,632.21 = 11,912.87/x
  3. Step 3: Cross multiply
    21,471.48x = 29,632.21 × 11,912.87
  4. Step 4: Simplify right side
    21,471.48x = 353,004,517.38
  5. Step 5: Solve for x
    x = 353,004,517.38/21,471.48
  6. Step 6: Final answer
    x = 16,440.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.