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Finding the Fourth Proportional to 12,381.57, 17,086.50 and 6,716.43

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Solution

The fourth proportional to 12,381.57, 17,086.50 and 6,716.43 is: 9,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.57 : 17,086.50 = 6,716.43 : x
  2. Step 2: Convert to fraction form
    12,381.57/17,086.50 = 6,716.43/x
  3. Step 3: Cross multiply
    12,381.57x = 17,086.50 × 6,716.43
  4. Step 4: Simplify right side
    12,381.57x = 114,760,281.20
  5. Step 5: Solve for x
    x = 114,760,281.20/12,381.57
  6. Step 6: Final answer
    x = 9,268.64

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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.