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Finding the Fourth Proportional to 12,173.73, 16,799.75 and 6,584.73

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Solution

The fourth proportional to 12,173.73, 16,799.75 and 6,584.73 is: 9,086.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,173.73 : 16,799.75 = 6,584.73 : x
  2. Step 2: Convert to fraction form
    12,173.73/16,799.75 = 6,584.73/x
  3. Step 3: Cross multiply
    12,173.73x = 16,799.75 × 6,584.73
  4. Step 4: Simplify right side
    12,173.73x = 110,621,817.82
  5. Step 5: Solve for x
    x = 110,621,817.82/12,173.73
  6. Step 6: Final answer
    x = 9,086.93

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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.