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Finding the Fourth Proportional to 17,923.86, 24,734.43 and 9,965.52

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Solution

The fourth proportional to 17,923.86, 24,734.43 and 9,965.52 is: 13,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,923.86 : 24,734.43 = 9,965.52 : x
  2. Step 2: Convert to fraction form
    17,923.86/24,734.43 = 9,965.52/x
  3. Step 3: Cross multiply
    17,923.86x = 24,734.43 × 9,965.52
  4. Step 4: Simplify right side
    17,923.86x = 246,491,456.85
  5. Step 5: Solve for x
    x = 246,491,456.85/17,923.86
  6. Step 6: Final answer
    x = 13,752.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.