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Finding the Fourth Proportional to 21,181.14, 31,765.22 and 8,035.38

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Solution

The fourth proportional to 21,181.14, 31,765.22 and 8,035.38 is: 12,050.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,181.14 : 31,765.22 = 8,035.38 : x
  2. Step 2: Convert to fraction form
    21,181.14/31,765.22 = 8,035.38/x
  3. Step 3: Cross multiply
    21,181.14x = 31,765.22 × 8,035.38
  4. Step 4: Simplify right side
    21,181.14x = 255,245,613.48
  5. Step 5: Solve for x
    x = 255,245,613.48/21,181.14
  6. Step 6: Final answer
    x = 12,050.61

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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.