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Finding the Fourth Proportional to 20,812.70, 31,215.92 and 7,661.99

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Solution

The fourth proportional to 20,812.70, 31,215.92 and 7,661.99 is: 11,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812.70 : 31,215.92 = 7,661.99 : x
  2. Step 2: Convert to fraction form
    20,812.70/31,215.92 = 7,661.99/x
  3. Step 3: Cross multiply
    20,812.70x = 31,215.92 × 7,661.99
  4. Step 4: Simplify right side
    20,812.70x = 239,175,872.49
  5. Step 5: Solve for x
    x = 239,175,872.49/20,812.70
  6. Step 6: Final answer
    x = 11,491.83

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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.