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Finding the Fourth Proportional to 13,274, 19,912.24 and 3,914.02

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Solution

The fourth proportional to 13,274, 19,912.24 and 3,914.02 is: 5,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274 : 19,912.24 = 3,914.02 : x
  2. Step 2: Convert to fraction form
    13,274/19,912.24 = 3,914.02/x
  3. Step 3: Cross multiply
    13,274x = 19,912.24 × 3,914.02
  4. Step 4: Simplify right side
    13,274x = 77,936,905.60
  5. Step 5: Solve for x
    x = 77,936,905.60/13,274
  6. Step 6: Final answer
    x = 5,871.40

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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.