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Finding the Fourth Proportional to 12,381.83, 17,086.98 and 6,716.64

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Solution

The fourth proportional to 12,381.83, 17,086.98 and 6,716.64 is: 9,268.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.83 : 17,086.98 = 6,716.64 : x
  2. Step 2: Convert to fraction form
    12,381.83/17,086.98 = 6,716.64/x
  3. Step 3: Cross multiply
    12,381.83x = 17,086.98 × 6,716.64
  4. Step 4: Simplify right side
    12,381.83x = 114,767,093.35
  5. Step 5: Solve for x
    x = 114,767,093.35/12,381.83
  6. Step 6: Final answer
    x = 9,268.99

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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.