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Finding the Fourth Proportional to 21,161.32, 29,201.38 and 11,601

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Solution

The fourth proportional to 21,161.32, 29,201.38 and 11,601 is: 16,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,161.32 : 29,201.38 = 11,601 : x
  2. Step 2: Convert to fraction form
    21,161.32/29,201.38 = 11,601/x
  3. Step 3: Cross multiply
    21,161.32x = 29,201.38 × 11,601
  4. Step 4: Simplify right side
    21,161.32x = 338,765,209.38
  5. Step 5: Solve for x
    x = 338,765,209.38/21,161.32
  6. Step 6: Final answer
    x = 16,008.70

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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.