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Finding the Fourth Proportional to 21,082.50, 29,093.46 and 11,650.86

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Solution

The fourth proportional to 21,082.50, 29,093.46 and 11,650.86 is: 16,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,082.50 : 29,093.46 = 11,650.86 : x
  2. Step 2: Convert to fraction form
    21,082.50/29,093.46 = 11,650.86/x
  3. Step 3: Cross multiply
    21,082.50x = 29,093.46 × 11,650.86
  4. Step 4: Simplify right side
    21,082.50x = 338,963,829.38
  5. Step 5: Solve for x
    x = 338,963,829.38/21,082.50
  6. Step 6: Final answer
    x = 16,077.97

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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.