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Finding the Fourth Proportional to 12,226.27, 18,326.16 and 5,990.50

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Solution

The fourth proportional to 12,226.27, 18,326.16 and 5,990.50 is: 8,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.27 : 18,326.16 = 5,990.50 : x
  2. Step 2: Convert to fraction form
    12,226.27/18,326.16 = 5,990.50/x
  3. Step 3: Cross multiply
    12,226.27x = 18,326.16 × 5,990.50
  4. Step 4: Simplify right side
    12,226.27x = 109,782,861.48
  5. Step 5: Solve for x
    x = 109,782,861.48/12,226.27
  6. Step 6: Final answer
    x = 8,979.26

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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.