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Finding the Fourth Proportional to 13,700.37, 18,906.49 and 7,412.75

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Solution

The fourth proportional to 13,700.37, 18,906.49 and 7,412.75 is: 10,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.37 : 18,906.49 = 7,412.75 : x
  2. Step 2: Convert to fraction form
    13,700.37/18,906.49 = 7,412.75/x
  3. Step 3: Cross multiply
    13,700.37x = 18,906.49 × 7,412.75
  4. Step 4: Simplify right side
    13,700.37x = 140,149,083.75
  5. Step 5: Solve for x
    x = 140,149,083.75/13,700.37
  6. Step 6: Final answer
    x = 10,229.58

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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.