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Finding the Fourth Proportional to 13,513.73, 18,647.16 and 7,544.43

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Solution

The fourth proportional to 13,513.73, 18,647.16 and 7,544.43 is: 10,410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.73 : 18,647.16 = 7,544.43 : x
  2. Step 2: Convert to fraction form
    13,513.73/18,647.16 = 7,544.43/x
  3. Step 3: Cross multiply
    13,513.73x = 18,647.16 × 7,544.43
  4. Step 4: Simplify right side
    13,513.73x = 140,682,193.32
  5. Step 5: Solve for x
    x = 140,682,193.32/13,513.73
  6. Step 6: Final answer
    x = 10,410.32

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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.