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Finding the Fourth Proportional to 12,198.02, 16,832.90 and 7,162.16

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Solution

The fourth proportional to 12,198.02, 16,832.90 and 7,162.16 is: 9,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.02 : 16,832.90 = 7,162.16 : x
  2. Step 2: Convert to fraction form
    12,198.02/16,832.90 = 7,162.16/x
  3. Step 3: Cross multiply
    12,198.02x = 16,832.90 × 7,162.16
  4. Step 4: Simplify right side
    12,198.02x = 120,559,923.06
  5. Step 5: Solve for x
    x = 120,559,923.06/12,198.02
  6. Step 6: Final answer
    x = 9,883.56

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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.