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Finding the Fourth Proportional to 13,703.54, 18,910.85 and 7,735.19

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Solution

The fourth proportional to 13,703.54, 18,910.85 and 7,735.19 is: 10,674.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.54 : 18,910.85 = 7,735.19 : x
  2. Step 2: Convert to fraction form
    13,703.54/18,910.85 = 7,735.19/x
  3. Step 3: Cross multiply
    13,703.54x = 18,910.85 × 7,735.19
  4. Step 4: Simplify right side
    13,703.54x = 146,278,884.58
  5. Step 5: Solve for x
    x = 146,278,884.58/13,703.54
  6. Step 6: Final answer
    x = 10,674.54

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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.