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Finding the Fourth Proportional to 18,000.50, 26,986.16 and 8,134.70

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Solution

The fourth proportional to 18,000.50, 26,986.16 and 8,134.70 is: 12,195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,000.50 : 26,986.16 = 8,134.70 : x
  2. Step 2: Convert to fraction form
    18,000.50/26,986.16 = 8,134.70/x
  3. Step 3: Cross multiply
    18,000.50x = 26,986.16 × 8,134.70
  4. Step 4: Simplify right side
    18,000.50x = 219,524,201.16
  5. Step 5: Solve for x
    x = 219,524,201.16/18,000.50
  6. Step 6: Final answer
    x = 12,195.45

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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.