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Finding the Fourth Proportional to 22,773.24, 34,172.82 and 7,993.14

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Solution

The fourth proportional to 22,773.24, 34,172.82 and 7,993.14 is: 11,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.24 : 34,172.82 = 7,993.14 : x
  2. Step 2: Convert to fraction form
    22,773.24/34,172.82 = 7,993.14/x
  3. Step 3: Cross multiply
    22,773.24x = 34,172.82 × 7,993.14
  4. Step 4: Simplify right side
    22,773.24x = 273,148,134.45
  5. Step 5: Solve for x
    x = 273,148,134.45/22,773.24
  6. Step 6: Final answer
    x = 11,994.26

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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.