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Finding the Fourth Proportional to 16,161, 24,241.50 and 5,217

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Solution

The fourth proportional to 16,161, 24,241.50 and 5,217 is: 7,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161 : 24,241.50 = 5,217 : x
  2. Step 2: Convert to fraction form
    16,161/24,241.50 = 5,217/x
  3. Step 3: Cross multiply
    16,161x = 24,241.50 × 5,217
  4. Step 4: Simplify right side
    16,161x = 126,467,905.50
  5. Step 5: Solve for x
    x = 126,467,905.50/16,161
  6. Step 6: Final answer
    x = 7,825.50

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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.