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Finding the Fourth Proportional to 16,267.53, 22,452.87 and 9,198.06

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Solution

The fourth proportional to 16,267.53, 22,452.87 and 9,198.06 is: 12,695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.53 : 22,452.87 = 9,198.06 : x
  2. Step 2: Convert to fraction form
    16,267.53/22,452.87 = 9,198.06/x
  3. Step 3: Cross multiply
    16,267.53x = 22,452.87 × 9,198.06
  4. Step 4: Simplify right side
    16,267.53x = 206,522,845.43
  5. Step 5: Solve for x
    x = 206,522,845.43/16,267.53
  6. Step 6: Final answer
    x = 12,695.40

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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.