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Finding the Fourth Proportional to 17,644.41, 24,350.13 and 9,687.42

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Solution

The fourth proportional to 17,644.41, 24,350.13 and 9,687.42 is: 13,369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.41 : 24,350.13 = 9,687.42 : x
  2. Step 2: Convert to fraction form
    17,644.41/24,350.13 = 9,687.42/x
  3. Step 3: Cross multiply
    17,644.41x = 24,350.13 × 9,687.42
  4. Step 4: Simplify right side
    17,644.41x = 235,889,936.36
  5. Step 5: Solve for x
    x = 235,889,936.36/17,644.41
  6. Step 6: Final answer
    x = 13,369.10

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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.