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Finding the Fourth Proportional to 17,728.85, 26,593.25 and 8,235.98

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Solution

The fourth proportional to 17,728.85, 26,593.25 and 8,235.98 is: 12,353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.85 : 26,593.25 = 8,235.98 : x
  2. Step 2: Convert to fraction form
    17,728.85/26,593.25 = 8,235.98/x
  3. Step 3: Cross multiply
    17,728.85x = 26,593.25 × 8,235.98
  4. Step 4: Simplify right side
    17,728.85x = 219,021,475.14
  5. Step 5: Solve for x
    x = 219,021,475.14/17,728.85
  6. Step 6: Final answer
    x = 12,353.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.