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Finding the Fourth Proportional to 12,643.83, 18,971.82 and 6,799.68

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Solution

The fourth proportional to 12,643.83, 18,971.82 and 6,799.68 is: 10,202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.83 : 18,971.82 = 6,799.68 : x
  2. Step 2: Convert to fraction form
    12,643.83/18,971.82 = 6,799.68/x
  3. Step 3: Cross multiply
    12,643.83x = 18,971.82 × 6,799.68
  4. Step 4: Simplify right side
    12,643.83x = 129,002,305.02
  5. Step 5: Solve for x
    x = 129,002,305.02/12,643.83
  6. Step 6: Final answer
    x = 10,202.79

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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.