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Finding the Fourth Proportional to 13,735.07, 18,954.39 and 7,447.44

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Solution

The fourth proportional to 13,735.07, 18,954.39 and 7,447.44 is: 10,277.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.07 : 18,954.39 = 7,447.44 : x
  2. Step 2: Convert to fraction form
    13,735.07/18,954.39 = 7,447.44/x
  3. Step 3: Cross multiply
    13,735.07x = 18,954.39 × 7,447.44
  4. Step 4: Simplify right side
    13,735.07x = 141,161,645.02
  5. Step 5: Solve for x
    x = 141,161,645.02/13,735.07
  6. Step 6: Final answer
    x = 10,277.46

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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.