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Finding the Fourth Proportional to 13,713.66, 20,524.41 and 7,861.50

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Solution

The fourth proportional to 13,713.66, 20,524.41 and 7,861.50 is: 11,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.66 : 20,524.41 = 7,861.50 : x
  2. Step 2: Convert to fraction form
    13,713.66/20,524.41 = 7,861.50/x
  3. Step 3: Cross multiply
    13,713.66x = 20,524.41 × 7,861.50
  4. Step 4: Simplify right side
    13,713.66x = 161,352,649.22
  5. Step 5: Solve for x
    x = 161,352,649.22/13,713.66
  6. Step 6: Final answer
    x = 11,765.83

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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.