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Finding the Fourth Proportional to 13,378.10, 18,443.77 and 11,481.48

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Solution

The fourth proportional to 13,378.10, 18,443.77 and 11,481.48 is: 15,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.10 : 18,443.77 = 11,481.48 : x
  2. Step 2: Convert to fraction form
    13,378.10/18,443.77 = 11,481.48/x
  3. Step 3: Cross multiply
    13,378.10x = 18,443.77 × 11,481.48
  4. Step 4: Simplify right side
    13,378.10x = 211,761,747.68
  5. Step 5: Solve for x
    x = 211,761,747.68/13,378.10
  6. Step 6: Final answer
    x = 15,828.99

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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.