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Finding the Fourth Proportional to 17,639.98, 24,343.08 and 9,682.34

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Solution

The fourth proportional to 17,639.98, 24,343.08 and 9,682.34 is: 13,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,639.98 : 24,343.08 = 9,682.34 : x
  2. Step 2: Convert to fraction form
    17,639.98/24,343.08 = 9,682.34/x
  3. Step 3: Cross multiply
    17,639.98x = 24,343.08 × 9,682.34
  4. Step 4: Simplify right side
    17,639.98x = 235,697,855.49
  5. Step 5: Solve for x
    x = 235,697,855.49/17,639.98
  6. Step 6: Final answer
    x = 13,361.58

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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.