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Finding the Fourth Proportional to 18,177, 27,265.50 and 5,865

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Solution

The fourth proportional to 18,177, 27,265.50 and 5,865 is: 8,797.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,177 : 27,265.50 = 5,865 : x
  2. Step 2: Convert to fraction form
    18,177/27,265.50 = 5,865/x
  3. Step 3: Cross multiply
    18,177x = 27,265.50 × 5,865
  4. Step 4: Simplify right side
    18,177x = 159,912,157.50
  5. Step 5: Solve for x
    x = 159,912,157.50/18,177
  6. Step 6: Final answer
    x = 8,797.50

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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.