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Finding the Fourth Proportional to 11,244.50, 16,855.23 and 4,674.50

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Solution

The fourth proportional to 11,244.50, 16,855.23 and 4,674.50 is: 7,006.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,244.50 : 16,855.23 = 4,674.50 : x
  2. Step 2: Convert to fraction form
    11,244.50/16,855.23 = 4,674.50/x
  3. Step 3: Cross multiply
    11,244.50x = 16,855.23 × 4,674.50
  4. Step 4: Simplify right side
    11,244.50x = 78,789,772.64
  5. Step 5: Solve for x
    x = 78,789,772.64/11,244.50
  6. Step 6: Final answer
    x = 7,006.96

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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.