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Finding the Fourth Proportional to 12,381.86, 17,087.03 and 6,716.66

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Solution

The fourth proportional to 12,381.86, 17,087.03 and 6,716.66 is: 9,269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.86 : 17,087.03 = 6,716.66 : x
  2. Step 2: Convert to fraction form
    12,381.86/17,087.03 = 6,716.66/x
  3. Step 3: Cross multiply
    12,381.86x = 17,087.03 × 6,716.66
  4. Step 4: Simplify right side
    12,381.86x = 114,767,770.92
  5. Step 5: Solve for x
    x = 114,767,770.92/12,381.86
  6. Step 6: Final answer
    x = 9,269.03

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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.