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Finding the Fourth Proportional to 25,021, 34,529.22 and 13,843.24

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Solution

The fourth proportional to 25,021, 34,529.22 and 13,843.24 is: 19,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,021 : 34,529.22 = 13,843.24 : x
  2. Step 2: Convert to fraction form
    25,021/34,529.22 = 13,843.24/x
  3. Step 3: Cross multiply
    25,021x = 34,529.22 × 13,843.24
  4. Step 4: Simplify right side
    25,021x = 477,996,279.47
  5. Step 5: Solve for x
    x = 477,996,279.47/25,021
  6. Step 6: Final answer
    x = 19,103.80

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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.