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Finding the Fourth Proportional to 22,728.47, 34,093.24 and 7,735.53

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Solution

The fourth proportional to 22,728.47, 34,093.24 and 7,735.53 is: 11,603.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,728.47 : 34,093.24 = 7,735.53 : x
  2. Step 2: Convert to fraction form
    22,728.47/34,093.24 = 7,735.53/x
  3. Step 3: Cross multiply
    22,728.47x = 34,093.24 × 7,735.53
  4. Step 4: Simplify right side
    22,728.47x = 263,729,389.33
  5. Step 5: Solve for x
    x = 263,729,389.33/22,728.47
  6. Step 6: Final answer
    x = 11,603.48

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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.