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Finding the Fourth Proportional to 12,436.50, 18,662.07 and 5,511.06

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Solution

The fourth proportional to 12,436.50, 18,662.07 and 5,511.06 is: 8,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436.50 : 18,662.07 = 5,511.06 : x
  2. Step 2: Convert to fraction form
    12,436.50/18,662.07 = 5,511.06/x
  3. Step 3: Cross multiply
    12,436.50x = 18,662.07 × 5,511.06
  4. Step 4: Simplify right side
    12,436.50x = 102,847,787.49
  5. Step 5: Solve for x
    x = 102,847,787.49/12,436.50
  6. Step 6: Final answer
    x = 8,269.83

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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.