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Finding the Fourth Proportional to 16,141.50, 24,213.15 and 5,753.25

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Solution

The fourth proportional to 16,141.50, 24,213.15 and 5,753.25 is: 8,630.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.50 : 24,213.15 = 5,753.25 : x
  2. Step 2: Convert to fraction form
    16,141.50/24,213.15 = 5,753.25/x
  3. Step 3: Cross multiply
    16,141.50x = 24,213.15 × 5,753.25
  4. Step 4: Simplify right side
    16,141.50x = 139,304,305.24
  5. Step 5: Solve for x
    x = 139,304,305.24/16,141.50
  6. Step 6: Final answer
    x = 8,630.20

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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.