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Finding the Fourth Proportional to 17,923.69, 24,734.56 and 9,965.85

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Solution

The fourth proportional to 17,923.69, 24,734.56 and 9,965.85 is: 13,752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,923.69 : 24,734.56 = 9,965.85 : x
  2. Step 2: Convert to fraction form
    17,923.69/24,734.56 = 9,965.85/x
  3. Step 3: Cross multiply
    17,923.69x = 24,734.56 × 9,965.85
  4. Step 4: Simplify right side
    17,923.69x = 246,500,741.27
  5. Step 5: Solve for x
    x = 246,500,741.27/17,923.69
  6. Step 6: Final answer
    x = 13,752.79

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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.