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Finding the Fourth Proportional to 18,235, 27,352.50 and 5,923

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Solution

The fourth proportional to 18,235, 27,352.50 and 5,923 is: 8,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,235 : 27,352.50 = 5,923 : x
  2. Step 2: Convert to fraction form
    18,235/27,352.50 = 5,923/x
  3. Step 3: Cross multiply
    18,235x = 27,352.50 × 5,923
  4. Step 4: Simplify right side
    18,235x = 162,008,857.50
  5. Step 5: Solve for x
    x = 162,008,857.50/18,235
  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.