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Finding the Fourth Proportional to 20,349.74, 30,514.57 and 8,499.98

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Solution

The fourth proportional to 20,349.74, 30,514.57 and 8,499.98 is: 12,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,349.74 : 30,514.57 = 8,499.98 : x
  2. Step 2: Convert to fraction form
    20,349.74/30,514.57 = 8,499.98/x
  3. Step 3: Cross multiply
    20,349.74x = 30,514.57 × 8,499.98
  4. Step 4: Simplify right side
    20,349.74x = 259,373,234.71
  5. Step 5: Solve for x
    x = 259,373,234.71/20,349.74
  6. Step 6: Final answer
    x = 12,745.78

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