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Finding the Fourth Proportional to 17,639.85, 24,343.38 and 9,682.05

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Solution

The fourth proportional to 17,639.85, 24,343.38 and 9,682.05 is: 13,361.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,639.85 : 24,343.38 = 9,682.05 : x
  2. Step 2: Convert to fraction form
    17,639.85/24,343.38 = 9,682.05/x
  3. Step 3: Cross multiply
    17,639.85x = 24,343.38 × 9,682.05
  4. Step 4: Simplify right side
    17,639.85x = 235,693,822.33
  5. Step 5: Solve for x
    x = 235,693,822.33/17,639.85
  6. Step 6: Final answer
    x = 13,361.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.