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Finding the Fourth Proportional to 13,751.27, 18,976.25 and 7,463.51

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Solution

The fourth proportional to 13,751.27, 18,976.25 and 7,463.51 is: 10,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.27 : 18,976.25 = 7,463.51 : x
  2. Step 2: Convert to fraction form
    13,751.27/18,976.25 = 7,463.51/x
  3. Step 3: Cross multiply
    13,751.27x = 18,976.25 × 7,463.51
  4. Step 4: Simplify right side
    13,751.27x = 141,629,394.32
  5. Step 5: Solve for x
    x = 141,629,394.32/13,751.27
  6. Step 6: Final answer
    x = 10,299.37

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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.