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Finding the Fourth Proportional to 17,639.89, 24,343.23 and 9,682.42

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Solution

The fourth proportional to 17,639.89, 24,343.23 and 9,682.42 is: 13,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,639.89 : 24,343.23 = 9,682.42 : x
  2. Step 2: Convert to fraction form
    17,639.89/24,343.23 = 9,682.42/x
  3. Step 3: Cross multiply
    17,639.89x = 24,343.23 × 9,682.42
  4. Step 4: Simplify right side
    17,639.89x = 235,701,377.02
  5. Step 5: Solve for x
    x = 235,701,377.02/17,639.89
  6. Step 6: Final answer
    x = 13,361.84

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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.