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Finding the Fourth Proportional to 17,771.36, 24,524.86 and 9,814.09

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Solution

The fourth proportional to 17,771.36, 24,524.86 and 9,814.09 is: 13,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.36 : 24,524.86 = 9,814.09 : x
  2. Step 2: Convert to fraction form
    17,771.36/24,524.86 = 9,814.09/x
  3. Step 3: Cross multiply
    17,771.36x = 24,524.86 × 9,814.09
  4. Step 4: Simplify right side
    17,771.36x = 240,689,183.28
  5. Step 5: Solve for x
    x = 240,689,183.28/17,771.36
  6. Step 6: Final answer
    x = 13,543.66

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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.