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Finding the Fourth Proportional to 12,163.42, 16,785.59 and 7,689.18

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Solution

The fourth proportional to 12,163.42, 16,785.59 and 7,689.18 is: 10,611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.42 : 16,785.59 = 7,689.18 : x
  2. Step 2: Convert to fraction form
    12,163.42/16,785.59 = 7,689.18/x
  3. Step 3: Cross multiply
    12,163.42x = 16,785.59 × 7,689.18
  4. Step 4: Simplify right side
    12,163.42x = 129,067,422.92
  5. Step 5: Solve for x
    x = 129,067,422.92/12,163.42
  6. Step 6: Final answer
    x = 10,611.11

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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.