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Finding the Fourth Proportional to 22,361.64, 30,857.70 and 12,288.12

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Solution

The fourth proportional to 22,361.64, 30,857.70 and 12,288.12 is: 16,956.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,361.64 : 30,857.70 = 12,288.12 : x
  2. Step 2: Convert to fraction form
    22,361.64/30,857.70 = 12,288.12/x
  3. Step 3: Cross multiply
    22,361.64x = 30,857.70 × 12,288.12
  4. Step 4: Simplify right side
    22,361.64x = 379,183,120.52
  5. Step 5: Solve for x
    x = 379,183,120.52/22,361.64
  6. Step 6: Final answer
    x = 16,956.86

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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.