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Finding the Fourth Proportional to 12,649.06, 18,985.25 and 6,413.44

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Solution

The fourth proportional to 12,649.06, 18,985.25 and 6,413.44 is: 9,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.06 : 18,985.25 = 6,413.44 : x
  2. Step 2: Convert to fraction form
    12,649.06/18,985.25 = 6,413.44/x
  3. Step 3: Cross multiply
    12,649.06x = 18,985.25 × 6,413.44
  4. Step 4: Simplify right side
    12,649.06x = 121,760,761.76
  5. Step 5: Solve for x
    x = 121,760,761.76/12,649.06
  6. Step 6: Final answer
    x = 9,626.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.