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Finding the Fourth Proportional to 17,521.86, 24,179.82 and 9,564.14

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Solution

The fourth proportional to 17,521.86, 24,179.82 and 9,564.14 is: 13,198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,521.86 : 24,179.82 = 9,564.14 : x
  2. Step 2: Convert to fraction form
    17,521.86/24,179.82 = 9,564.14/x
  3. Step 3: Cross multiply
    17,521.86x = 24,179.82 × 9,564.14
  4. Step 4: Simplify right side
    17,521.86x = 231,259,183.65
  5. Step 5: Solve for x
    x = 231,259,183.65/17,521.86
  6. Step 6: Final answer
    x = 13,198.32

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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.