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Finding the Fourth Proportional to 12,683.98, 19,022.70 and 3,797.20

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Solution

The fourth proportional to 12,683.98, 19,022.70 and 3,797.20 is: 5,694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.98 : 19,022.70 = 3,797.20 : x
  2. Step 2: Convert to fraction form
    12,683.98/19,022.70 = 3,797.20/x
  3. Step 3: Cross multiply
    12,683.98x = 19,022.70 × 3,797.20
  4. Step 4: Simplify right side
    12,683.98x = 72,232,996.44
  5. Step 5: Solve for x
    x = 72,232,996.44/12,683.98
  6. Step 6: Final answer
    x = 5,694.82

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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.