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Finding the Fourth Proportional to 12,226.50, 18,283.68 and 9,108.65

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Solution

The fourth proportional to 12,226.50, 18,283.68 and 9,108.65 is: 13,621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.50 : 18,283.68 = 9,108.65 : x
  2. Step 2: Convert to fraction form
    12,226.50/18,283.68 = 9,108.65/x
  3. Step 3: Cross multiply
    12,226.50x = 18,283.68 × 9,108.65
  4. Step 4: Simplify right side
    12,226.50x = 166,539,687.54
  5. Step 5: Solve for x
    x = 166,539,687.54/12,226.50
  6. Step 6: Final answer
    x = 13,621.21

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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.