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Finding the Fourth Proportional to 17,834.22, 24,610.86 and 9,876.42

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Solution

The fourth proportional to 17,834.22, 24,610.86 and 9,876.42 is: 13,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,834.22 : 24,610.86 = 9,876.42 : x
  2. Step 2: Convert to fraction form
    17,834.22/24,610.86 = 9,876.42/x
  3. Step 3: Cross multiply
    17,834.22x = 24,610.86 × 9,876.42
  4. Step 4: Simplify right side
    17,834.22x = 243,067,189.92
  5. Step 5: Solve for x
    x = 243,067,189.92/17,834.22
  6. Step 6: Final answer
    x = 13,629.26

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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.