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Finding the Fourth Proportional to 13,939.41, 19,223.54 and 9,469.83

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Solution

The fourth proportional to 13,939.41, 19,223.54 and 9,469.83 is: 13,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,939.41 : 19,223.54 = 9,469.83 : x
  2. Step 2: Convert to fraction form
    13,939.41/19,223.54 = 9,469.83/x
  3. Step 3: Cross multiply
    13,939.41x = 19,223.54 × 9,469.83
  4. Step 4: Simplify right side
    13,939.41x = 182,043,716.05
  5. Step 5: Solve for x
    x = 182,043,716.05/13,939.41
  6. Step 6: Final answer
    x = 13,059.64

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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.