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Finding the Fourth Proportional to 17,517.86, 24,175.18 and 9,965.28

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Solution

The fourth proportional to 17,517.86, 24,175.18 and 9,965.28 is: 13,752.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,517.86 : 24,175.18 = 9,965.28 : x
  2. Step 2: Convert to fraction form
    17,517.86/24,175.18 = 9,965.28/x
  3. Step 3: Cross multiply
    17,517.86x = 24,175.18 × 9,965.28
  4. Step 4: Simplify right side
    17,517.86x = 240,912,437.75
  5. Step 5: Solve for x
    x = 240,912,437.75/17,517.86
  6. Step 6: Final answer
    x = 13,752.39

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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.