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Finding the Fourth Proportional to 20,760.66, 31,136.81 and 5,966.10

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Solution

The fourth proportional to 20,760.66, 31,136.81 and 5,966.10 is: 8,947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,760.66 : 31,136.81 = 5,966.10 : x
  2. Step 2: Convert to fraction form
    20,760.66/31,136.81 = 5,966.10/x
  3. Step 3: Cross multiply
    20,760.66x = 31,136.81 × 5,966.10
  4. Step 4: Simplify right side
    20,760.66x = 185,765,292.31
  5. Step 5: Solve for x
    x = 185,765,292.31/20,760.66
  6. Step 6: Final answer
    x = 8,947.95

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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.