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Finding the Fourth Proportional to 16,241.14, 24,361.72 and 3,929.14

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Solution

The fourth proportional to 16,241.14, 24,361.72 and 3,929.14 is: 5,893.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.14 : 24,361.72 = 3,929.14 : x
  2. Step 2: Convert to fraction form
    16,241.14/24,361.72 = 3,929.14/x
  3. Step 3: Cross multiply
    16,241.14x = 24,361.72 × 3,929.14
  4. Step 4: Simplify right side
    16,241.14x = 95,720,608.52
  5. Step 5: Solve for x
    x = 95,720,608.52/16,241.14
  6. Step 6: Final answer
    x = 5,893.71

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Why These Related Problems?

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