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Finding the Fourth Proportional to 17,647.21, 26,462.43 and 10,253.80

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Solution

The fourth proportional to 17,647.21, 26,462.43 and 10,253.80 is: 15,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.21 : 26,462.43 = 10,253.80 : x
  2. Step 2: Convert to fraction form
    17,647.21/26,462.43 = 10,253.80/x
  3. Step 3: Cross multiply
    17,647.21x = 26,462.43 × 10,253.80
  4. Step 4: Simplify right side
    17,647.21x = 271,340,464.73
  5. Step 5: Solve for x
    x = 271,340,464.73/17,647.21
  6. Step 6: Final answer
    x = 15,375.83

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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.