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Finding the Fourth Proportional to 17,684.92, 24,405.14 and 9,727.24

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Solution

The fourth proportional to 17,684.92, 24,405.14 and 9,727.24 is: 13,423.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.92 : 24,405.14 = 9,727.24 : x
  2. Step 2: Convert to fraction form
    17,684.92/24,405.14 = 9,727.24/x
  3. Step 3: Cross multiply
    17,684.92x = 24,405.14 × 9,727.24
  4. Step 4: Simplify right side
    17,684.92x = 237,394,654.01
  5. Step 5: Solve for x
    x = 237,394,654.01/17,684.92
  6. Step 6: Final answer
    x = 13,423.56

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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.