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Finding the Fourth Proportional to 16,195.98, 22,352.46 and 9,122.25

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Solution

The fourth proportional to 16,195.98, 22,352.46 and 9,122.25 is: 12,589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,195.98 : 22,352.46 = 9,122.25 : x
  2. Step 2: Convert to fraction form
    16,195.98/22,352.46 = 9,122.25/x
  3. Step 3: Cross multiply
    16,195.98x = 22,352.46 × 9,122.25
  4. Step 4: Simplify right side
    16,195.98x = 203,904,728.24
  5. Step 5: Solve for x
    x = 203,904,728.24/16,195.98
  6. Step 6: Final answer
    x = 12,589.84

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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.