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Finding the Fourth Proportional to 18,668.10, 25,770.22 and 12,297.98

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Solution

The fourth proportional to 18,668.10, 25,770.22 and 12,297.98 is: 16,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,668.10 : 25,770.22 = 12,297.98 : x
  2. Step 2: Convert to fraction form
    18,668.10/25,770.22 = 12,297.98/x
  3. Step 3: Cross multiply
    18,668.10x = 25,770.22 × 12,297.98
  4. Step 4: Simplify right side
    18,668.10x = 316,921,650.16
  5. Step 5: Solve for x
    x = 316,921,650.16/18,668.10
  6. Step 6: Final answer
    x = 16,976.64

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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.