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Finding the Fourth Proportional to 13,745.78, 18,969.39 and 7,458.15

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Solution

The fourth proportional to 13,745.78, 18,969.39 and 7,458.15 is: 10,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.78 : 18,969.39 = 7,458.15 : x
  2. Step 2: Convert to fraction form
    13,745.78/18,969.39 = 7,458.15/x
  3. Step 3: Cross multiply
    13,745.78x = 18,969.39 × 7,458.15
  4. Step 4: Simplify right side
    13,745.78x = 141,476,556.03
  5. Step 5: Solve for x
    x = 141,476,556.03/13,745.78
  6. Step 6: Final answer
    x = 10,292.37

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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.