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Finding the Fourth Proportional to 13,914.79, 20,795.78 and 10,174.44

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Solution

The fourth proportional to 13,914.79, 20,795.78 and 10,174.44 is: 15,205.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.79 : 20,795.78 = 10,174.44 : x
  2. Step 2: Convert to fraction form
    13,914.79/20,795.78 = 10,174.44/x
  3. Step 3: Cross multiply
    13,914.79x = 20,795.78 × 10,174.44
  4. Step 4: Simplify right side
    13,914.79x = 211,585,415.86
  5. Step 5: Solve for x
    x = 211,585,415.86/13,914.79
  6. Step 6: Final answer
    x = 15,205.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.