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Finding the Fourth Proportional to 11,961.58, 17,942.36 and 8,643.82

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Solution

The fourth proportional to 11,961.58, 17,942.36 and 8,643.82 is: 12,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.58 : 17,942.36 = 8,643.82 : x
  2. Step 2: Convert to fraction form
    11,961.58/17,942.36 = 8,643.82/x
  3. Step 3: Cross multiply
    11,961.58x = 17,942.36 × 8,643.82
  4. Step 4: Simplify right side
    11,961.58x = 155,090,530.22
  5. Step 5: Solve for x
    x = 155,090,530.22/11,961.58
  6. Step 6: Final answer
    x = 12,965.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.