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Finding the Fourth Proportional to 17,639.46, 24,343.02 and 9,682.20

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Solution

The fourth proportional to 17,639.46, 24,343.02 and 9,682.20 is: 13,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,639.46 : 24,343.02 = 9,682.20 : x
  2. Step 2: Convert to fraction form
    17,639.46/24,343.02 = 9,682.20/x
  3. Step 3: Cross multiply
    17,639.46x = 24,343.02 × 9,682.20
  4. Step 4: Simplify right side
    17,639.46x = 235,693,988.24
  5. Step 5: Solve for x
    x = 235,693,988.24/17,639.46
  6. Step 6: Final answer
    x = 13,361.75

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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.