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Finding the Fourth Proportional to 12,183.60, 16,813.56 and 7,151.64

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Solution

The fourth proportional to 12,183.60, 16,813.56 and 7,151.64 is: 9,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.60 : 16,813.56 = 7,151.64 : x
  2. Step 2: Convert to fraction form
    12,183.60/16,813.56 = 7,151.64/x
  3. Step 3: Cross multiply
    12,183.60x = 16,813.56 × 7,151.64
  4. Step 4: Simplify right side
    12,183.60x = 120,244,528.24
  5. Step 5: Solve for x
    x = 120,244,528.24/12,183.60
  6. Step 6: Final answer
    x = 9,869.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.