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Finding the Fourth Proportional to 12,983.49, 19,493.37 and 6,662.79

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Solution

The fourth proportional to 12,983.49, 19,493.37 and 6,662.79 is: 10,003.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983.49 : 19,493.37 = 6,662.79 : x
  2. Step 2: Convert to fraction form
    12,983.49/19,493.37 = 6,662.79/x
  3. Step 3: Cross multiply
    12,983.49x = 19,493.37 × 6,662.79
  4. Step 4: Simplify right side
    12,983.49x = 129,880,230.70
  5. Step 5: Solve for x
    x = 129,880,230.70/12,983.49
  6. Step 6: Final answer
    x = 10,003.49

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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.