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Finding the Fourth Proportional to 18,954, 28,441.24 and 9,226

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Solution

The fourth proportional to 18,954, 28,441.24 and 9,226 is: 13,843.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,954 : 28,441.24 = 9,226 : x
  2. Step 2: Convert to fraction form
    18,954/28,441.24 = 9,226/x
  3. Step 3: Cross multiply
    18,954x = 28,441.24 × 9,226
  4. Step 4: Simplify right side
    18,954x = 262,398,880.24
  5. Step 5: Solve for x
    x = 262,398,880.24/18,954
  6. Step 6: Final answer
    x = 13,843.98

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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.