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Finding the Fourth Proportional to 12,413.07, 18,607.14 and 6,163.47

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Solution

The fourth proportional to 12,413.07, 18,607.14 and 6,163.47 is: 9,239.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.07 : 18,607.14 = 6,163.47 : x
  2. Step 2: Convert to fraction form
    12,413.07/18,607.14 = 6,163.47/x
  3. Step 3: Cross multiply
    12,413.07x = 18,607.14 × 6,163.47
  4. Step 4: Simplify right side
    12,413.07x = 114,684,549.18
  5. Step 5: Solve for x
    x = 114,684,549.18/12,413.07
  6. Step 6: Final answer
    x = 9,239.02

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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.