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Finding the Fourth Proportional to 12,286.64, 18,431.16 and 4,889.37

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Solution

The fourth proportional to 12,286.64, 18,431.16 and 4,889.37 is: 7,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.64 : 18,431.16 = 4,889.37 : x
  2. Step 2: Convert to fraction form
    12,286.64/18,431.16 = 4,889.37/x
  3. Step 3: Cross multiply
    12,286.64x = 18,431.16 × 4,889.37
  4. Step 4: Simplify right side
    12,286.64x = 90,116,760.77
  5. Step 5: Solve for x
    x = 90,116,760.77/12,286.64
  6. Step 6: Final answer
    x = 7,334.53

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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.