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Finding the Fourth Proportional to 12,183.64, 16,816.02 and 7,704.52

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Solution

The fourth proportional to 12,183.64, 16,816.02 and 7,704.52 is: 10,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.64 : 16,816.02 = 7,704.52 : x
  2. Step 2: Convert to fraction form
    12,183.64/16,816.02 = 7,704.52/x
  3. Step 3: Cross multiply
    12,183.64x = 16,816.02 × 7,704.52
  4. Step 4: Simplify right side
    12,183.64x = 129,559,362.41
  5. Step 5: Solve for x
    x = 129,559,362.41/12,183.64
  6. Step 6: Final answer
    x = 10,633.88

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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.