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Finding the Fourth Proportional to 21,307.38, 29,404.39 and 11,747.61

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Solution

The fourth proportional to 21,307.38, 29,404.39 and 11,747.61 is: 16,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,307.38 : 29,404.39 = 11,747.61 : x
  2. Step 2: Convert to fraction form
    21,307.38/29,404.39 = 11,747.61/x
  3. Step 3: Cross multiply
    21,307.38x = 29,404.39 × 11,747.61
  4. Step 4: Simplify right side
    21,307.38x = 345,431,174.67
  5. Step 5: Solve for x
    x = 345,431,174.67/21,307.38
  6. Step 6: Final answer
    x = 16,211.81

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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.