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Finding the Fourth Proportional to 17,685.22, 24,405.96 and 9,727.42

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Solution

The fourth proportional to 17,685.22, 24,405.96 and 9,727.42 is: 13,424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.22 : 24,405.96 = 9,727.42 : x
  2. Step 2: Convert to fraction form
    17,685.22/24,405.96 = 9,727.42/x
  3. Step 3: Cross multiply
    17,685.22x = 24,405.96 × 9,727.42
  4. Step 4: Simplify right side
    17,685.22x = 237,407,023.42
  5. Step 5: Solve for x
    x = 237,407,023.42/17,685.22
  6. Step 6: Final answer
    x = 13,424.04

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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.