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Finding the Fourth Proportional to 12,413.56, 18,610.60 and 8,506.12

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Solution

The fourth proportional to 12,413.56, 18,610.60 and 8,506.12 is: 12,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.56 : 18,610.60 = 8,506.12 : x
  2. Step 2: Convert to fraction form
    12,413.56/18,610.60 = 8,506.12/x
  3. Step 3: Cross multiply
    12,413.56x = 18,610.60 × 8,506.12
  4. Step 4: Simplify right side
    12,413.56x = 158,303,996.87
  5. Step 5: Solve for x
    x = 158,303,996.87/12,413.56
  6. Step 6: Final answer
    x = 12,752.51

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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.