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Finding the Fourth Proportional to 16,222.36, 22,388.42 and 9,847.47

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Solution

The fourth proportional to 16,222.36, 22,388.42 and 9,847.47 is: 13,590.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.36 : 22,388.42 = 9,847.47 : x
  2. Step 2: Convert to fraction form
    16,222.36/22,388.42 = 9,847.47/x
  3. Step 3: Cross multiply
    16,222.36x = 22,388.42 × 9,847.47
  4. Step 4: Simplify right side
    16,222.36x = 220,469,245.06
  5. Step 5: Solve for x
    x = 220,469,245.06/16,222.36
  6. Step 6: Final answer
    x = 13,590.46

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