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Finding the Fourth Proportional to 20,452.72, 30,678.20 and 6,412.46

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Solution

The fourth proportional to 20,452.72, 30,678.20 and 6,412.46 is: 9,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,452.72 : 30,678.20 = 6,412.46 : x
  2. Step 2: Convert to fraction form
    20,452.72/30,678.20 = 6,412.46/x
  3. Step 3: Cross multiply
    20,452.72x = 30,678.20 × 6,412.46
  4. Step 4: Simplify right side
    20,452.72x = 196,722,730.37
  5. Step 5: Solve for x
    x = 196,722,730.37/20,452.72
  6. Step 6: Final answer
    x = 9,618.41

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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.