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Finding the Fourth Proportional to 12,413.75, 18,627.57 and 9,645.98

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Solution

The fourth proportional to 12,413.75, 18,627.57 and 9,645.98 is: 14,474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.75 : 18,627.57 = 9,645.98 : x
  2. Step 2: Convert to fraction form
    12,413.75/18,627.57 = 9,645.98/x
  3. Step 3: Cross multiply
    12,413.75x = 18,627.57 × 9,645.98
  4. Step 4: Simplify right side
    12,413.75x = 179,681,074.53
  5. Step 5: Solve for x
    x = 179,681,074.53/12,413.75
  6. Step 6: Final answer
    x = 14,474.36

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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.