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Finding the Fourth Proportional to 18,474.64, 27,708.48 and 4,966

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Solution

The fourth proportional to 18,474.64, 27,708.48 and 4,966 is: 7,448.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,474.64 : 27,708.48 = 4,966 : x
  2. Step 2: Convert to fraction form
    18,474.64/27,708.48 = 4,966/x
  3. Step 3: Cross multiply
    18,474.64x = 27,708.48 × 4,966
  4. Step 4: Simplify right side
    18,474.64x = 137,600,311.68
  5. Step 5: Solve for x
    x = 137,600,311.68/18,474.64
  6. Step 6: Final answer
    x = 7,448.06

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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.