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Finding the Fourth Proportional to 22,774.93, 34,163.16 and 7,994.14

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Solution

The fourth proportional to 22,774.93, 34,163.16 and 7,994.14 is: 11,991.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.93 : 34,163.16 = 7,994.14 : x
  2. Step 2: Convert to fraction form
    22,774.93/34,163.16 = 7,994.14/x
  3. Step 3: Cross multiply
    22,774.93x = 34,163.16 × 7,994.14
  4. Step 4: Simplify right side
    22,774.93x = 273,105,083.88
  5. Step 5: Solve for x
    x = 273,105,083.88/22,774.93
  6. Step 6: Final answer
    x = 11,991.48

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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.