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Finding the Fourth Proportional to 20,576.14, 30,865.40 and 5,786.22

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Solution

The fourth proportional to 20,576.14, 30,865.40 and 5,786.22 is: 8,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576.14 : 30,865.40 = 5,786.22 : x
  2. Step 2: Convert to fraction form
    20,576.14/30,865.40 = 5,786.22/x
  3. Step 3: Cross multiply
    20,576.14x = 30,865.40 × 5,786.22
  4. Step 4: Simplify right side
    20,576.14x = 178,593,994.79
  5. Step 5: Solve for x
    x = 178,593,994.79/20,576.14
  6. Step 6: Final answer
    x = 8,679.66

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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.