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Finding the Fourth Proportional to 20,466, 30,699.02 and 8,162.64

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Solution

The fourth proportional to 20,466, 30,699.02 and 8,162.64 is: 12,243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,466 : 30,699.02 = 8,162.64 : x
  2. Step 2: Convert to fraction form
    20,466/30,699.02 = 8,162.64/x
  3. Step 3: Cross multiply
    20,466x = 30,699.02 × 8,162.64
  4. Step 4: Simplify right side
    20,466x = 250,585,007.80
  5. Step 5: Solve for x
    x = 250,585,007.80/20,466
  6. Step 6: Final answer
    x = 12,243.97

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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.