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Finding the Fourth Proportional to 20,464.34, 30,697.81 and 6,424.92

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Solution

The fourth proportional to 20,464.34, 30,697.81 and 6,424.92 is: 9,637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,464.34 : 30,697.81 = 6,424.92 : x
  2. Step 2: Convert to fraction form
    20,464.34/30,697.81 = 6,424.92/x
  3. Step 3: Cross multiply
    20,464.34x = 30,697.81 × 6,424.92
  4. Step 4: Simplify right side
    20,464.34x = 197,230,957.36
  5. Step 5: Solve for x
    x = 197,230,957.36/20,464.34
  6. Step 6: Final answer
    x = 9,637.79

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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.