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Finding the Fourth Proportional to 13,514.84, 18,650.34 and 7,546.35

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Solution

The fourth proportional to 13,514.84, 18,650.34 and 7,546.35 is: 10,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.84 : 18,650.34 = 7,546.35 : x
  2. Step 2: Convert to fraction form
    13,514.84/18,650.34 = 7,546.35/x
  3. Step 3: Cross multiply
    13,514.84x = 18,650.34 × 7,546.35
  4. Step 4: Simplify right side
    13,514.84x = 140,741,993.26
  5. Step 5: Solve for x
    x = 140,741,993.26/13,514.84
  6. Step 6: Final answer
    x = 10,413.89

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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.