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Finding the Fourth Proportional to 18,622.85, 25,674.38 and 12,644.14

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Solution

The fourth proportional to 18,622.85, 25,674.38 and 12,644.14 is: 17,431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,622.85 : 25,674.38 = 12,644.14 : x
  2. Step 2: Convert to fraction form
    18,622.85/25,674.38 = 12,644.14/x
  3. Step 3: Cross multiply
    18,622.85x = 25,674.38 × 12,644.14
  4. Step 4: Simplify right side
    18,622.85x = 324,630,391.91
  5. Step 5: Solve for x
    x = 324,630,391.91/18,622.85
  6. Step 6: Final answer
    x = 17,431.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.