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Finding the Fourth Proportional to 16,241.70, 24,363.41 and 5,149.25

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Solution

The fourth proportional to 16,241.70, 24,363.41 and 5,149.25 is: 7,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.70 : 24,363.41 = 5,149.25 : x
  2. Step 2: Convert to fraction form
    16,241.70/24,363.41 = 5,149.25/x
  3. Step 3: Cross multiply
    16,241.70x = 24,363.41 × 5,149.25
  4. Step 4: Simplify right side
    16,241.70x = 125,453,141.38
  5. Step 5: Solve for x
    x = 125,453,141.38/16,241.70
  6. Step 6: Final answer
    x = 7,724.14

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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.