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Finding the Fourth Proportional to 17,639.68, 24,343.04 and 9,682.64

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Solution

The fourth proportional to 17,639.68, 24,343.04 and 9,682.64 is: 13,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,639.68 : 24,343.04 = 9,682.64 : x
  2. Step 2: Convert to fraction form
    17,639.68/24,343.04 = 9,682.64/x
  3. Step 3: Cross multiply
    17,639.68x = 24,343.04 × 9,682.64
  4. Step 4: Simplify right side
    17,639.68x = 235,704,977.89
  5. Step 5: Solve for x
    x = 235,704,977.89/17,639.68
  6. Step 6: Final answer
    x = 13,362.20

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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.