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Finding the Fourth Proportional to 13,514.66, 18,649.82 and 7,546.32

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Solution

The fourth proportional to 13,514.66, 18,649.82 and 7,546.32 is: 10,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.66 : 18,649.82 = 7,546.32 : x
  2. Step 2: Convert to fraction form
    13,514.66/18,649.82 = 7,546.32/x
  3. Step 3: Cross multiply
    13,514.66x = 18,649.82 × 7,546.32
  4. Step 4: Simplify right side
    13,514.66x = 140,737,509.66
  5. Step 5: Solve for x
    x = 140,737,509.66/13,514.66
  6. Step 6: Final answer
    x = 10,413.69

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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.