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Finding the Fourth Proportional to 12,143.64, 16,759.06 and 6,766.48

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Solution

The fourth proportional to 12,143.64, 16,759.06 and 6,766.48 is: 9,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.64 : 16,759.06 = 6,766.48 : x
  2. Step 2: Convert to fraction form
    12,143.64/16,759.06 = 6,766.48/x
  3. Step 3: Cross multiply
    12,143.64x = 16,759.06 × 6,766.48
  4. Step 4: Simplify right side
    12,143.64x = 113,399,844.31
  5. Step 5: Solve for x
    x = 113,399,844.31/12,143.64
  6. Step 6: Final answer
    x = 9,338.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.