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Finding the Fourth Proportional to 21,397.14, 29,528.06 and 11,965.73

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Solution

The fourth proportional to 21,397.14, 29,528.06 and 11,965.73 is: 16,512.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,397.14 : 29,528.06 = 11,965.73 : x
  2. Step 2: Convert to fraction form
    21,397.14/29,528.06 = 11,965.73/x
  3. Step 3: Cross multiply
    21,397.14x = 29,528.06 × 11,965.73
  4. Step 4: Simplify right side
    21,397.14x = 353,324,793.38
  5. Step 5: Solve for x
    x = 353,324,793.38/21,397.14
  6. Step 6: Final answer
    x = 16,512.71

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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.