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Finding the Fourth Proportional to 29,224.88, 43,843.80 and 13,634

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Solution

The fourth proportional to 29,224.88, 43,843.80 and 13,634 is: 20,454.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,224.88 : 43,843.80 = 13,634 : x
  2. Step 2: Convert to fraction form
    29,224.88/43,843.80 = 13,634/x
  3. Step 3: Cross multiply
    29,224.88x = 43,843.80 × 13,634
  4. Step 4: Simplify right side
    29,224.88x = 597,766,369.20
  5. Step 5: Solve for x
    x = 597,766,369.20/29,224.88
  6. Step 6: Final answer
    x = 20,454.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.