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Finding the Fourth Proportional to 17,522.23, 24,181.14 and 9,565.19

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Solution

The fourth proportional to 17,522.23, 24,181.14 and 9,565.19 is: 13,200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,522.23 : 24,181.14 = 9,565.19 : x
  2. Step 2: Convert to fraction form
    17,522.23/24,181.14 = 9,565.19/x
  3. Step 3: Cross multiply
    17,522.23x = 24,181.14 × 9,565.19
  4. Step 4: Simplify right side
    17,522.23x = 231,297,150.69
  5. Step 5: Solve for x
    x = 231,297,150.69/17,522.23
  6. Step 6: Final answer
    x = 13,200.21

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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.