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Finding the Fourth Proportional to 12,413.60, 18,623.70 and 5,390.60

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Solution

The fourth proportional to 12,413.60, 18,623.70 and 5,390.60 is: 8,087.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.60 : 18,623.70 = 5,390.60 : x
  2. Step 2: Convert to fraction form
    12,413.60/18,623.70 = 5,390.60/x
  3. Step 3: Cross multiply
    12,413.60x = 18,623.70 × 5,390.60
  4. Step 4: Simplify right side
    12,413.60x = 100,392,917.22
  5. Step 5: Solve for x
    x = 100,392,917.22/12,413.60
  6. Step 6: Final answer
    x = 8,087.33

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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.