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Finding the Fourth Proportional to 14,813, 20,441.94 and 8,189

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Solution

The fourth proportional to 14,813, 20,441.94 and 8,189 is: 11,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813 : 20,441.94 = 8,189 : x
  2. Step 2: Convert to fraction form
    14,813/20,441.94 = 8,189/x
  3. Step 3: Cross multiply
    14,813x = 20,441.94 × 8,189
  4. Step 4: Simplify right side
    14,813x = 167,399,046.66
  5. Step 5: Solve for x
    x = 167,399,046.66/14,813
  6. Step 6: Final answer
    x = 11,300.82

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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.