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Finding the Fourth Proportional to 19,735.44, 27,242.46 and 12,183

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Solution

The fourth proportional to 19,735.44, 27,242.46 and 12,183 is: 16,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.44 : 27,242.46 = 12,183 : x
  2. Step 2: Convert to fraction form
    19,735.44/27,242.46 = 12,183/x
  3. Step 3: Cross multiply
    19,735.44x = 27,242.46 × 12,183
  4. Step 4: Simplify right side
    19,735.44x = 331,894,890.18
  5. Step 5: Solve for x
    x = 331,894,890.18/19,735.44
  6. Step 6: Final answer
    x = 16,817.20

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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.