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Finding the Fourth Proportional to 17,086.50, 25,633.53 and 7,234.20

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Solution

The fourth proportional to 17,086.50, 25,633.53 and 7,234.20 is: 10,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,086.50 : 25,633.53 = 7,234.20 : x
  2. Step 2: Convert to fraction form
    17,086.50/25,633.53 = 7,234.20/x
  3. Step 3: Cross multiply
    17,086.50x = 25,633.53 × 7,234.20
  4. Step 4: Simplify right side
    17,086.50x = 185,438,082.73
  5. Step 5: Solve for x
    x = 185,438,082.73/17,086.50
  6. Step 6: Final answer
    x = 10,852.90

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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.