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Finding the Fourth Proportional to 17,042.12, 23,517.62 and 9,589.96

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Solution

The fourth proportional to 17,042.12, 23,517.62 and 9,589.96 is: 13,233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,042.12 : 23,517.62 = 9,589.96 : x
  2. Step 2: Convert to fraction form
    17,042.12/23,517.62 = 9,589.96/x
  3. Step 3: Cross multiply
    17,042.12x = 23,517.62 × 9,589.96
  4. Step 4: Simplify right side
    17,042.12x = 225,533,035.10
  5. Step 5: Solve for x
    x = 225,533,035.10/17,042.12
  6. Step 6: Final answer
    x = 13,233.86

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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.