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Finding the Fourth Proportional to 19,198.50, 28,797.75 and 8,254.50

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Solution

The fourth proportional to 19,198.50, 28,797.75 and 8,254.50 is: 12,381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,198.50 : 28,797.75 = 8,254.50 : x
  2. Step 2: Convert to fraction form
    19,198.50/28,797.75 = 8,254.50/x
  3. Step 3: Cross multiply
    19,198.50x = 28,797.75 × 8,254.50
  4. Step 4: Simplify right side
    19,198.50x = 237,711,027.38
  5. Step 5: Solve for x
    x = 237,711,027.38/19,198.50
  6. Step 6: Final answer
    x = 12,381.75

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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.