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Finding the Fourth Proportional to 14,864.09, 20,512.50 and 8,149.82

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Solution

The fourth proportional to 14,864.09, 20,512.50 and 8,149.82 is: 11,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864.09 : 20,512.50 = 8,149.82 : x
  2. Step 2: Convert to fraction form
    14,864.09/20,512.50 = 8,149.82/x
  3. Step 3: Cross multiply
    14,864.09x = 20,512.50 × 8,149.82
  4. Step 4: Simplify right side
    14,864.09x = 167,173,039.44
  5. Step 5: Solve for x
    x = 167,173,039.44/14,864.09
  6. Step 6: Final answer
    x = 11,246.78

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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.