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Finding the Fourth Proportional to 13,700.28, 18,906.42 and 7,412.70

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Solution

The fourth proportional to 13,700.28, 18,906.42 and 7,412.70 is: 10,229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.28 : 18,906.42 = 7,412.70 : x
  2. Step 2: Convert to fraction form
    13,700.28/18,906.42 = 7,412.70/x
  3. Step 3: Cross multiply
    13,700.28x = 18,906.42 × 7,412.70
  4. Step 4: Simplify right side
    13,700.28x = 140,147,619.53
  5. Step 5: Solve for x
    x = 140,147,619.53/13,700.28
  6. Step 6: Final answer
    x = 10,229.54

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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.