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Finding the Fourth Proportional to 13,514.49, 18,649.94 and 7,546.14

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Solution

The fourth proportional to 13,514.49, 18,649.94 and 7,546.14 is: 10,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.49 : 18,649.94 = 7,546.14 : x
  2. Step 2: Convert to fraction form
    13,514.49/18,649.94 = 7,546.14/x
  3. Step 3: Cross multiply
    13,514.49x = 18,649.94 × 7,546.14
  4. Step 4: Simplify right side
    13,514.49x = 140,735,020.50
  5. Step 5: Solve for x
    x = 140,735,020.50/13,514.49
  6. Step 6: Final answer
    x = 10,413.64

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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.