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Finding the Fourth Proportional to 17,441.22, 24,067.32 and 9,680.24

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Solution

The fourth proportional to 17,441.22, 24,067.32 and 9,680.24 is: 13,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,441.22 : 24,067.32 = 9,680.24 : x
  2. Step 2: Convert to fraction form
    17,441.22/24,067.32 = 9,680.24/x
  3. Step 3: Cross multiply
    17,441.22x = 24,067.32 × 9,680.24
  4. Step 4: Simplify right side
    17,441.22x = 232,977,313.42
  5. Step 5: Solve for x
    x = 232,977,313.42/17,441.22
  6. Step 6: Final answer
    x = 13,357.86

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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.