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Finding the Fourth Proportional to 17,189.96, 23,717.61 and 9,920.24

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Solution

The fourth proportional to 17,189.96, 23,717.61 and 9,920.24 is: 13,687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,189.96 : 23,717.61 = 9,920.24 : x
  2. Step 2: Convert to fraction form
    17,189.96/23,717.61 = 9,920.24/x
  3. Step 3: Cross multiply
    17,189.96x = 23,717.61 × 9,920.24
  4. Step 4: Simplify right side
    17,189.96x = 235,284,353.78
  5. Step 5: Solve for x
    x = 235,284,353.78/17,189.96
  6. Step 6: Final answer
    x = 13,687.32

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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.