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Finding the Fourth Proportional to 17,451.97, 24,083.17 and 9,493.99

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Solution

The fourth proportional to 17,451.97, 24,083.17 and 9,493.99 is: 13,101.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,451.97 : 24,083.17 = 9,493.99 : x
  2. Step 2: Convert to fraction form
    17,451.97/24,083.17 = 9,493.99/x
  3. Step 3: Cross multiply
    17,451.97x = 24,083.17 × 9,493.99
  4. Step 4: Simplify right side
    17,451.97x = 228,645,375.15
  5. Step 5: Solve for x
    x = 228,645,375.15/17,451.97
  6. Step 6: Final answer
    x = 13,101.41

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1.5x scale

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.