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Finding the Fourth Proportional to 15,163.48, 22,745.22 and 5,923

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Solution

The fourth proportional to 15,163.48, 22,745.22 and 5,923 is: 8,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,163.48 : 22,745.22 = 5,923 : x
  2. Step 2: Convert to fraction form
    15,163.48/22,745.22 = 5,923/x
  3. Step 3: Cross multiply
    15,163.48x = 22,745.22 × 5,923
  4. Step 4: Simplify right side
    15,163.48x = 134,719,938.06
  5. Step 5: Solve for x
    x = 134,719,938.06/15,163.48
  6. Step 6: Final answer
    x = 8,884.50

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Why These Related Problems?

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