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Finding the Fourth Proportional to 14,864.67, 20,512.44 and 8,149.95

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Solution

The fourth proportional to 14,864.67, 20,512.44 and 8,149.95 is: 11,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864.67 : 20,512.44 = 8,149.95 : x
  2. Step 2: Convert to fraction form
    14,864.67/20,512.44 = 8,149.95/x
  3. Step 3: Cross multiply
    14,864.67x = 20,512.44 × 8,149.95
  4. Step 4: Simplify right side
    14,864.67x = 167,175,360.38
  5. Step 5: Solve for x
    x = 167,175,360.38/14,864.67
  6. Step 6: Final answer
    x = 11,246.49

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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.