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Finding the Fourth Proportional to 21,160.26, 29,134.50 and 17,967.24

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Solution

The fourth proportional to 21,160.26, 29,134.50 and 17,967.24 is: 24,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,160.26 : 29,134.50 = 17,967.24 : x
  2. Step 2: Convert to fraction form
    21,160.26/29,134.50 = 17,967.24/x
  3. Step 3: Cross multiply
    21,160.26x = 29,134.50 × 17,967.24
  4. Step 4: Simplify right side
    21,160.26x = 523,466,553.78
  5. Step 5: Solve for x
    x = 523,466,553.78/21,160.26
  6. Step 6: Final answer
    x = 24,738.19

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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.