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Finding the Fourth Proportional to 14,593.50, 20,142.68 and 8,309.52

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Solution

The fourth proportional to 14,593.50, 20,142.68 and 8,309.52 is: 11,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593.50 : 20,142.68 = 8,309.52 : x
  2. Step 2: Convert to fraction form
    14,593.50/20,142.68 = 8,309.52/x
  3. Step 3: Cross multiply
    14,593.50x = 20,142.68 × 8,309.52
  4. Step 4: Simplify right side
    14,593.50x = 167,375,960.77
  5. Step 5: Solve for x
    x = 167,375,960.77/14,593.50
  6. Step 6: Final answer
    x = 11,469.21

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1.5x scale

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.