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Finding the Fourth Proportional to 13,755.14, 18,982.16 and 7,467.50

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Solution

The fourth proportional to 13,755.14, 18,982.16 and 7,467.50 is: 10,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.14 : 18,982.16 = 7,467.50 : x
  2. Step 2: Convert to fraction form
    13,755.14/18,982.16 = 7,467.50/x
  3. Step 3: Cross multiply
    13,755.14x = 18,982.16 × 7,467.50
  4. Step 4: Simplify right side
    13,755.14x = 141,749,279.80
  5. Step 5: Solve for x
    x = 141,749,279.80/13,755.14
  6. Step 6: Final answer
    x = 10,305.19

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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.