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Finding the Fourth Proportional to 12,563.43, 18,846.83 and 6,643.18

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Solution

The fourth proportional to 12,563.43, 18,846.83 and 6,643.18 is: 9,965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.43 : 18,846.83 = 6,643.18 : x
  2. Step 2: Convert to fraction form
    12,563.43/18,846.83 = 6,643.18/x
  3. Step 3: Cross multiply
    12,563.43x = 18,846.83 × 6,643.18
  4. Step 4: Simplify right side
    12,563.43x = 125,202,884.12
  5. Step 5: Solve for x
    x = 125,202,884.12/12,563.43
  6. Step 6: Final answer
    x = 9,965.66

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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.