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Finding the Fourth Proportional to 17,920.17, 24,727.50 and 9,961.38

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Solution

The fourth proportional to 17,920.17, 24,727.50 and 9,961.38 is: 13,745.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.17 : 24,727.50 = 9,961.38 : x
  2. Step 2: Convert to fraction form
    17,920.17/24,727.50 = 9,961.38/x
  3. Step 3: Cross multiply
    17,920.17x = 24,727.50 × 9,961.38
  4. Step 4: Simplify right side
    17,920.17x = 246,320,023.95
  5. Step 5: Solve for x
    x = 246,320,023.95/17,920.17
  6. Step 6: Final answer
    x = 13,745.41

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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.