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Finding the Fourth Proportional to 21,737, 29,997.06 and 11,801

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Solution

The fourth proportional to 21,737, 29,997.06 and 11,801 is: 16,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,737 : 29,997.06 = 11,801 : x
  2. Step 2: Convert to fraction form
    21,737/29,997.06 = 11,801/x
  3. Step 3: Cross multiply
    21,737x = 29,997.06 × 11,801
  4. Step 4: Simplify right side
    21,737x = 353,995,305.06
  5. Step 5: Solve for x
    x = 353,995,305.06/21,737
  6. Step 6: Final answer
    x = 16,285.38

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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.