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Finding the Fourth Proportional to 12,413.88, 18,615.96 and 3,646.44

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Solution

The fourth proportional to 12,413.88, 18,615.96 and 3,646.44 is: 5,468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.88 : 18,615.96 = 3,646.44 : x
  2. Step 2: Convert to fraction form
    12,413.88/18,615.96 = 3,646.44/x
  3. Step 3: Cross multiply
    12,413.88x = 18,615.96 × 3,646.44
  4. Step 4: Simplify right side
    12,413.88x = 67,881,981.18
  5. Step 5: Solve for x
    x = 67,881,981.18/12,413.88
  6. Step 6: Final answer
    x = 5,468.23

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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.