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Finding the Fourth Proportional to 18,668, 25,760.96 and 10,709.44

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Solution

The fourth proportional to 18,668, 25,760.96 and 10,709.44 is: 14,778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,668 : 25,760.96 = 10,709.44 : x
  2. Step 2: Convert to fraction form
    18,668/25,760.96 = 10,709.44/x
  3. Step 3: Cross multiply
    18,668x = 25,760.96 × 10,709.44
  4. Step 4: Simplify right side
    18,668x = 275,885,455.46
  5. Step 5: Solve for x
    x = 275,885,455.46/18,668
  6. Step 6: Final answer
    x = 14,778.52

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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.