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Finding the Fourth Proportional to 14,560.80, 20,092.96 and 8,273.12

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Solution

The fourth proportional to 14,560.80, 20,092.96 and 8,273.12 is: 11,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560.80 : 20,092.96 = 8,273.12 : x
  2. Step 2: Convert to fraction form
    14,560.80/20,092.96 = 8,273.12/x
  3. Step 3: Cross multiply
    14,560.80x = 20,092.96 × 8,273.12
  4. Step 4: Simplify right side
    14,560.80x = 166,231,469.24
  5. Step 5: Solve for x
    x = 166,231,469.24/14,560.80
  6. Step 6: Final answer
    x = 11,416.37

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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.