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Finding the Fourth Proportional to 23,185, 34,777.50 and 10,873

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Solution

The fourth proportional to 23,185, 34,777.50 and 10,873 is: 16,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,185 : 34,777.50 = 10,873 : x
  2. Step 2: Convert to fraction form
    23,185/34,777.50 = 10,873/x
  3. Step 3: Cross multiply
    23,185x = 34,777.50 × 10,873
  4. Step 4: Simplify right side
    23,185x = 378,135,757.50
  5. Step 5: Solve for x
    x = 378,135,757.50/23,185
  6. Step 6: Final answer
    x = 16,309.50

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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.