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Finding the Fourth Proportional to 16,241.84, 24,366.36 and 5,149.19

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Solution

The fourth proportional to 16,241.84, 24,366.36 and 5,149.19 is: 7,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.84 : 24,366.36 = 5,149.19 : x
  2. Step 2: Convert to fraction form
    16,241.84/24,366.36 = 5,149.19/x
  3. Step 3: Cross multiply
    16,241.84x = 24,366.36 × 5,149.19
  4. Step 4: Simplify right side
    16,241.84x = 125,467,017.25
  5. Step 5: Solve for x
    x = 125,467,017.25/16,241.84
  6. Step 6: Final answer
    x = 7,724.93

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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.