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Finding the Fourth Proportional to 14,855.85, 20,500.38 and 8,141.31

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Solution

The fourth proportional to 14,855.85, 20,500.38 and 8,141.31 is: 11,234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,855.85 : 20,500.38 = 8,141.31 : x
  2. Step 2: Convert to fraction form
    14,855.85/20,500.38 = 8,141.31/x
  3. Step 3: Cross multiply
    14,855.85x = 20,500.38 × 8,141.31
  4. Step 4: Simplify right side
    14,855.85x = 166,899,948.70
  5. Step 5: Solve for x
    x = 166,899,948.70/14,855.85
  6. Step 6: Final answer
    x = 11,234.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.