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Finding the Fourth Proportional to 20,576.27, 30,865.54 and 5,784.02

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Solution

The fourth proportional to 20,576.27, 30,865.54 and 5,784.02 is: 8,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576.27 : 30,865.54 = 5,784.02 : x
  2. Step 2: Convert to fraction form
    20,576.27/30,865.54 = 5,784.02/x
  3. Step 3: Cross multiply
    20,576.27x = 30,865.54 × 5,784.02
  4. Step 4: Simplify right side
    20,576.27x = 178,526,731.88
  5. Step 5: Solve for x
    x = 178,526,731.88/20,576.27
  6. Step 6: Final answer
    x = 8,676.34

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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.