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Finding the Fourth Proportional to 26,163.82, 39,251.62 and 9,524

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Solution

The fourth proportional to 26,163.82, 39,251.62 and 9,524 is: 14,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,163.82 : 39,251.62 = 9,524 : x
  2. Step 2: Convert to fraction form
    26,163.82/39,251.62 = 9,524/x
  3. Step 3: Cross multiply
    26,163.82x = 39,251.62 × 9,524
  4. Step 4: Simplify right side
    26,163.82x = 373,832,428.88
  5. Step 5: Solve for x
    x = 373,832,428.88/26,163.82
  6. Step 6: Final answer
    x = 14,288.14

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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.