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Finding the Fourth Proportional to 13,183.46, 18,184.77 and 9,203.12

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Solution

The fourth proportional to 13,183.46, 18,184.77 and 9,203.12 is: 12,694.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,183.46 : 18,184.77 = 9,203.12 : x
  2. Step 2: Convert to fraction form
    13,183.46/18,184.77 = 9,203.12/x
  3. Step 3: Cross multiply
    13,183.46x = 18,184.77 × 9,203.12
  4. Step 4: Simplify right side
    13,183.46x = 167,356,529.56
  5. Step 5: Solve for x
    x = 167,356,529.56/13,183.46
  6. Step 6: Final answer
    x = 12,694.44

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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.