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Finding the Fourth Proportional to 16,173.36, 22,318.74 and 9,099.36

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Solution

The fourth proportional to 16,173.36, 22,318.74 and 9,099.36 is: 12,556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,173.36 : 22,318.74 = 9,099.36 : x
  2. Step 2: Convert to fraction form
    16,173.36/22,318.74 = 9,099.36/x
  3. Step 3: Cross multiply
    16,173.36x = 22,318.74 × 9,099.36
  4. Step 4: Simplify right side
    16,173.36x = 203,086,250.01
  5. Step 5: Solve for x
    x = 203,086,250.01/16,173.36
  6. Step 6: Final answer
    x = 12,556.84

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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.