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Finding the Fourth Proportional to 21,472.38, 29,632.14 and 11,912.45

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Solution

The fourth proportional to 21,472.38, 29,632.14 and 11,912.45 is: 16,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,472.38 : 29,632.14 = 11,912.45 : x
  2. Step 2: Convert to fraction form
    21,472.38/29,632.14 = 11,912.45/x
  3. Step 3: Cross multiply
    21,472.38x = 29,632.14 × 11,912.45
  4. Step 4: Simplify right side
    21,472.38x = 352,991,237.98
  5. Step 5: Solve for x
    x = 352,991,237.98/21,472.38
  6. Step 6: Final answer
    x = 16,439.32

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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.