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Finding the Fourth Proportional to 14,872.09, 20,523.13 and 8,157.66

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Solution

The fourth proportional to 14,872.09, 20,523.13 and 8,157.66 is: 11,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.09 : 20,523.13 = 8,157.66 : x
  2. Step 2: Convert to fraction form
    14,872.09/20,523.13 = 8,157.66/x
  3. Step 3: Cross multiply
    14,872.09x = 20,523.13 × 8,157.66
  4. Step 4: Simplify right side
    14,872.09x = 167,420,716.68
  5. Step 5: Solve for x
    x = 167,420,716.68/14,872.09
  6. Step 6: Final answer
    x = 11,257.38

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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.