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Finding the Fourth Proportional to 20,682.69, 31,034.28 and 8,202.44

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Solution

The fourth proportional to 20,682.69, 31,034.28 and 8,202.44 is: 12,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682.69 : 31,034.28 = 8,202.44 : x
  2. Step 2: Convert to fraction form
    20,682.69/31,034.28 = 8,202.44/x
  3. Step 3: Cross multiply
    20,682.69x = 31,034.28 × 8,202.44
  4. Step 4: Simplify right side
    20,682.69x = 254,556,664.47
  5. Step 5: Solve for x
    x = 254,556,664.47/20,682.69
  6. Step 6: Final answer
    x = 12,307.72

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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.