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Finding the Fourth Proportional to 20,940.32, 31,412.01 and 7,792.70

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Solution

The fourth proportional to 20,940.32, 31,412.01 and 7,792.70 is: 11,689.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,940.32 : 31,412.01 = 7,792.70 : x
  2. Step 2: Convert to fraction form
    20,940.32/31,412.01 = 7,792.70/x
  3. Step 3: Cross multiply
    20,940.32x = 31,412.01 × 7,792.70
  4. Step 4: Simplify right side
    20,940.32x = 244,784,213.27
  5. Step 5: Solve for x
    x = 244,784,213.27/20,940.32
  6. Step 6: Final answer
    x = 11,689.61

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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.