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Finding the Fourth Proportional to 14,863.88, 20,512.24 and 8,149.52

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Solution

The fourth proportional to 14,863.88, 20,512.24 and 8,149.52 is: 11,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863.88 : 20,512.24 = 8,149.52 : x
  2. Step 2: Convert to fraction form
    14,863.88/20,512.24 = 8,149.52/x
  3. Step 3: Cross multiply
    14,863.88x = 20,512.24 × 8,149.52
  4. Step 4: Simplify right side
    14,863.88x = 167,164,910.12
  5. Step 5: Solve for x
    x = 167,164,910.12/14,863.88
  6. Step 6: Final answer
    x = 11,246.38

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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.