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Finding the Fourth Proportional to 20,576.34, 30,913.74 and 13,195.20

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Solution

The fourth proportional to 20,576.34, 30,913.74 and 13,195.20 is: 19,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576.34 : 30,913.74 = 13,195.20 : x
  2. Step 2: Convert to fraction form
    20,576.34/30,913.74 = 13,195.20/x
  3. Step 3: Cross multiply
    20,576.34x = 30,913.74 × 13,195.20
  4. Step 4: Simplify right side
    20,576.34x = 407,912,982.05
  5. Step 5: Solve for x
    x = 407,912,982.05/20,576.34
  6. Step 6: Final answer
    x = 19,824.37

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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.