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Finding the Fourth Proportional to 17,639.92, 24,343.04 and 9,682

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Solution

The fourth proportional to 17,639.92, 24,343.04 and 9,682 is: 13,361.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,639.92 : 24,343.04 = 9,682 : x
  2. Step 2: Convert to fraction form
    17,639.92/24,343.04 = 9,682/x
  3. Step 3: Cross multiply
    17,639.92x = 24,343.04 × 9,682
  4. Step 4: Simplify right side
    17,639.92x = 235,689,313.28
  5. Step 5: Solve for x
    x = 235,689,313.28/17,639.92
  6. Step 6: Final answer
    x = 13,361.13

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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.