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Finding the Fourth Proportional to 16,361.31, 24,537.54 and 6,996.69

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Solution

The fourth proportional to 16,361.31, 24,537.54 and 6,996.69 is: 10,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,361.31 : 24,537.54 = 6,996.69 : x
  2. Step 2: Convert to fraction form
    16,361.31/24,537.54 = 6,996.69/x
  3. Step 3: Cross multiply
    16,361.31x = 24,537.54 × 6,996.69
  4. Step 4: Simplify right side
    16,361.31x = 171,681,560.74
  5. Step 5: Solve for x
    x = 171,681,560.74/16,361.31
  6. Step 6: Final answer
    x = 10,493.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.