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Finding the Fourth Proportional to 13,755.49, 18,982.56 and 7,467.87

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Solution

The fourth proportional to 13,755.49, 18,982.56 and 7,467.87 is: 10,305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.49 : 18,982.56 = 7,467.87 : x
  2. Step 2: Convert to fraction form
    13,755.49/18,982.56 = 7,467.87/x
  3. Step 3: Cross multiply
    13,755.49x = 18,982.56 × 7,467.87
  4. Step 4: Simplify right side
    13,755.49x = 141,759,290.35
  5. Step 5: Solve for x
    x = 141,759,290.35/13,755.49
  6. Step 6: Final answer
    x = 10,305.65

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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.