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Finding the Fourth Proportional to 20,030.26, 30,046 and 6,882.44

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Solution

The fourth proportional to 20,030.26, 30,046 and 6,882.44 is: 10,323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,030.26 : 30,046 = 6,882.44 : x
  2. Step 2: Convert to fraction form
    20,030.26/30,046 = 6,882.44/x
  3. Step 3: Cross multiply
    20,030.26x = 30,046 × 6,882.44
  4. Step 4: Simplify right side
    20,030.26x = 206,789,792.24
  5. Step 5: Solve for x
    x = 206,789,792.24/20,030.26
  6. Step 6: Final answer
    x = 10,323.87

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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.