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Finding the Fourth Proportional to 20,478.05, 30,717.05 and 6,439.31

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Solution

The fourth proportional to 20,478.05, 30,717.05 and 6,439.31 is: 9,658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.05 : 30,717.05 = 6,439.31 : x
  2. Step 2: Convert to fraction form
    20,478.05/30,717.05 = 6,439.31/x
  3. Step 3: Cross multiply
    20,478.05x = 30,717.05 × 6,439.31
  4. Step 4: Simplify right side
    20,478.05x = 197,796,421.45
  5. Step 5: Solve for x
    x = 197,796,421.45/20,478.05
  6. Step 6: Final answer
    x = 9,658.95

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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.