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Finding the Fourth Proportional to 12,183.92, 16,808.44 and 7,145.58

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Solution

The fourth proportional to 12,183.92, 16,808.44 and 7,145.58 is: 9,857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.92 : 16,808.44 = 7,145.58 : x
  2. Step 2: Convert to fraction form
    12,183.92/16,808.44 = 7,145.58/x
  3. Step 3: Cross multiply
    12,183.92x = 16,808.44 × 7,145.58
  4. Step 4: Simplify right side
    12,183.92x = 120,106,052.70
  5. Step 5: Solve for x
    x = 120,106,052.70/12,183.92
  6. Step 6: Final answer
    x = 9,857.75

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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.