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Finding the Fourth Proportional to 15,969.32, 23,958.72 and 8,183.60

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Solution

The fourth proportional to 15,969.32, 23,958.72 and 8,183.60 is: 12,277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,969.32 : 23,958.72 = 8,183.60 : x
  2. Step 2: Convert to fraction form
    15,969.32/23,958.72 = 8,183.60/x
  3. Step 3: Cross multiply
    15,969.32x = 23,958.72 × 8,183.60
  4. Step 4: Simplify right side
    15,969.32x = 196,068,580.99
  5. Step 5: Solve for x
    x = 196,068,580.99/15,969.32
  6. Step 6: Final answer
    x = 12,277.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.