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Finding the Fourth Proportional to 21,557.38, 29,749.38 and 11,997.67

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Solution

The fourth proportional to 21,557.38, 29,749.38 and 11,997.67 is: 16,556.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,557.38 : 29,749.38 = 11,997.67 : x
  2. Step 2: Convert to fraction form
    21,557.38/29,749.38 = 11,997.67/x
  3. Step 3: Cross multiply
    21,557.38x = 29,749.38 × 11,997.67
  4. Step 4: Simplify right side
    21,557.38x = 356,923,243.94
  5. Step 5: Solve for x
    x = 356,923,243.94/21,557.38
  6. Step 6: Final answer
    x = 16,556.89

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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.