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Finding the Fourth Proportional to 12,413.44, 18,598.24 and 12,107.28

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Solution

The fourth proportional to 12,413.44, 18,598.24 and 12,107.28 is: 18,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.44 : 18,598.24 = 12,107.28 : x
  2. Step 2: Convert to fraction form
    12,413.44/18,598.24 = 12,107.28/x
  3. Step 3: Cross multiply
    12,413.44x = 18,598.24 × 12,107.28
  4. Step 4: Simplify right side
    12,413.44x = 225,174,099.19
  5. Step 5: Solve for x
    x = 225,174,099.19/12,413.44
  6. Step 6: Final answer
    x = 18,139.54

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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.