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Finding the Fourth Proportional to 17,523.21, 24,181.64 and 9,565.56

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Solution

The fourth proportional to 17,523.21, 24,181.64 and 9,565.56 is: 13,200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523.21 : 24,181.64 = 9,565.56 : x
  2. Step 2: Convert to fraction form
    17,523.21/24,181.64 = 9,565.56/x
  3. Step 3: Cross multiply
    17,523.21x = 24,181.64 × 9,565.56
  4. Step 4: Simplify right side
    17,523.21x = 231,311,012.69
  5. Step 5: Solve for x
    x = 231,311,012.69/17,523.21
  6. Step 6: Final answer
    x = 13,200.27

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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.