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Finding the Fourth Proportional to 20,448.62, 30,676.17 and 6,407.54

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Solution

The fourth proportional to 20,448.62, 30,676.17 and 6,407.54 is: 9,612.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448.62 : 30,676.17 = 6,407.54 : x
  2. Step 2: Convert to fraction form
    20,448.62/30,676.17 = 6,407.54/x
  3. Step 3: Cross multiply
    20,448.62x = 30,676.17 × 6,407.54
  4. Step 4: Simplify right side
    20,448.62x = 196,558,786.32
  5. Step 5: Solve for x
    x = 196,558,786.32/20,448.62
  6. Step 6: Final answer
    x = 9,612.33

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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.