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Finding the Fourth Proportional to 17,589.41, 24,273.42 and 9,523.14

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Solution

The fourth proportional to 17,589.41, 24,273.42 and 9,523.14 is: 13,141.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,589.41 : 24,273.42 = 9,523.14 : x
  2. Step 2: Convert to fraction form
    17,589.41/24,273.42 = 9,523.14/x
  3. Step 3: Cross multiply
    17,589.41x = 24,273.42 × 9,523.14
  4. Step 4: Simplify right side
    17,589.41x = 231,159,232.25
  5. Step 5: Solve for x
    x = 231,159,232.25/17,589.41
  6. Step 6: Final answer
    x = 13,141.96

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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.