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Finding the Fourth Proportional to 12,469.96, 18,680.91 and 9,823.47

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Solution

The fourth proportional to 12,469.96, 18,680.91 and 9,823.47 is: 14,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.96 : 18,680.91 = 9,823.47 : x
  2. Step 2: Convert to fraction form
    12,469.96/18,680.91 = 9,823.47/x
  3. Step 3: Cross multiply
    12,469.96x = 18,680.91 × 9,823.47
  4. Step 4: Simplify right side
    12,469.96x = 183,511,358.96
  5. Step 5: Solve for x
    x = 183,511,358.96/12,469.96
  6. Step 6: Final answer
    x = 14,716.27

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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.