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Finding the Fourth Proportional to 20,541.46, 30,812.19 and 6,690.46

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Solution

The fourth proportional to 20,541.46, 30,812.19 and 6,690.46 is: 10,035.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,541.46 : 30,812.19 = 6,690.46 : x
  2. Step 2: Convert to fraction form
    20,541.46/30,812.19 = 6,690.46/x
  3. Step 3: Cross multiply
    20,541.46x = 30,812.19 × 6,690.46
  4. Step 4: Simplify right side
    20,541.46x = 206,147,537.19
  5. Step 5: Solve for x
    x = 206,147,537.19/20,541.46
  6. Step 6: Final answer
    x = 10,035.68

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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.