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Finding the Fourth Proportional to 12,381.82, 17,086.85 and 6,716.68

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Solution

The fourth proportional to 12,381.82, 17,086.85 and 6,716.68 is: 9,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.82 : 17,086.85 = 6,716.68 : x
  2. Step 2: Convert to fraction form
    12,381.82/17,086.85 = 6,716.68/x
  3. Step 3: Cross multiply
    12,381.82x = 17,086.85 × 6,716.68
  4. Step 4: Simplify right side
    12,381.82x = 114,766,870.07
  5. Step 5: Solve for x
    x = 114,766,870.07/12,381.82
  6. Step 6: Final answer
    x = 9,268.98

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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.