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Finding the Fourth Proportional to 14,864.33, 20,512.22 and 8,149.80

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Solution

The fourth proportional to 14,864.33, 20,512.22 and 8,149.80 is: 11,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864.33 : 20,512.22 = 8,149.80 : x
  2. Step 2: Convert to fraction form
    14,864.33/20,512.22 = 8,149.80/x
  3. Step 3: Cross multiply
    14,864.33x = 20,512.22 × 8,149.80
  4. Step 4: Simplify right side
    14,864.33x = 167,170,490.56
  5. Step 5: Solve for x
    x = 167,170,490.56/14,864.33
  6. Step 6: Final answer
    x = 11,246.42

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