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Finding the Fourth Proportional to 16,241.93, 24,363.77 and 5,149.49

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Solution

The fourth proportional to 16,241.93, 24,363.77 and 5,149.49 is: 7,724.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.93 : 24,363.77 = 5,149.49 : x
  2. Step 2: Convert to fraction form
    16,241.93/24,363.77 = 5,149.49/x
  3. Step 3: Cross multiply
    16,241.93x = 24,363.77 × 5,149.49
  4. Step 4: Simplify right side
    16,241.93x = 125,460,989.98
  5. Step 5: Solve for x
    x = 125,460,989.98/16,241.93
  6. Step 6: Final answer
    x = 7,724.51

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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.