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Finding the Fourth Proportional to 12,239.50, 18,359.21 and 3,474.42

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Solution

The fourth proportional to 12,239.50, 18,359.21 and 3,474.42 is: 5,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,239.50 : 18,359.21 = 3,474.42 : x
  2. Step 2: Convert to fraction form
    12,239.50/18,359.21 = 3,474.42/x
  3. Step 3: Cross multiply
    12,239.50x = 18,359.21 × 3,474.42
  4. Step 4: Simplify right side
    12,239.50x = 63,787,497.24
  5. Step 5: Solve for x
    x = 63,787,497.24/12,239.50
  6. Step 6: Final answer
    x = 5,211.61

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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.