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Finding the Fourth Proportional to 17,685.82, 24,405.84 and 9,727.98

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Solution

The fourth proportional to 17,685.82, 24,405.84 and 9,727.98 is: 13,424.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.82 : 24,405.84 = 9,727.98 : x
  2. Step 2: Convert to fraction form
    17,685.82/24,405.84 = 9,727.98/x
  3. Step 3: Cross multiply
    17,685.82x = 24,405.84 × 9,727.98
  4. Step 4: Simplify right side
    17,685.82x = 237,419,523.40
  5. Step 5: Solve for x
    x = 237,419,523.40/17,685.82
  6. Step 6: Final answer
    x = 13,424.29

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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.