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Finding the Fourth Proportional to 17,639.90, 24,343.04 and 9,682.14

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Solution

The fourth proportional to 17,639.90, 24,343.04 and 9,682.14 is: 13,361.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,639.90 : 24,343.04 = 9,682.14 : x
  2. Step 2: Convert to fraction form
    17,639.90/24,343.04 = 9,682.14/x
  3. Step 3: Cross multiply
    17,639.90x = 24,343.04 × 9,682.14
  4. Step 4: Simplify right side
    17,639.90x = 235,692,721.31
  5. Step 5: Solve for x
    x = 235,692,721.31/17,639.90
  6. Step 6: Final answer
    x = 13,361.34

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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.