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Finding the Fourth Proportional to 20,524.96, 30,778.97 and 7,195.16

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Solution

The fourth proportional to 20,524.96, 30,778.97 and 7,195.16 is: 10,789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,524.96 : 30,778.97 = 7,195.16 : x
  2. Step 2: Convert to fraction form
    20,524.96/30,778.97 = 7,195.16/x
  3. Step 3: Cross multiply
    20,524.96x = 30,778.97 × 7,195.16
  4. Step 4: Simplify right side
    20,524.96x = 221,459,613.79
  5. Step 5: Solve for x
    x = 221,459,613.79/20,524.96
  6. Step 6: Final answer
    x = 10,789.77

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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.