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Finding the Fourth Proportional to 12,406.67, 18,568.42 and 10,185.38

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Solution

The fourth proportional to 12,406.67, 18,568.42 and 10,185.38 is: 15,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.67 : 18,568.42 = 10,185.38 : x
  2. Step 2: Convert to fraction form
    12,406.67/18,568.42 = 10,185.38/x
  3. Step 3: Cross multiply
    12,406.67x = 18,568.42 × 10,185.38
  4. Step 4: Simplify right side
    12,406.67x = 189,126,413.70
  5. Step 5: Solve for x
    x = 189,126,413.70/12,406.67
  6. Step 6: Final answer
    x = 15,243.93

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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.