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Finding the Fourth Proportional to 17,589.66, 24,273.76 and 9,523.40

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Solution

The fourth proportional to 17,589.66, 24,273.76 and 9,523.40 is: 13,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,589.66 : 24,273.76 = 9,523.40 : x
  2. Step 2: Convert to fraction form
    17,589.66/24,273.76 = 9,523.40/x
  3. Step 3: Cross multiply
    17,589.66x = 24,273.76 × 9,523.40
  4. Step 4: Simplify right side
    17,589.66x = 231,168,604.62
  5. Step 5: Solve for x
    x = 231,168,604.62/17,589.66
  6. Step 6: Final answer
    x = 13,142.30

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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.