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Finding the Fourth Proportional to 13,078.10, 18,048.55 and 7,413.08

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Solution

The fourth proportional to 13,078.10, 18,048.55 and 7,413.08 is: 10,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.10 : 18,048.55 = 7,413.08 : x
  2. Step 2: Convert to fraction form
    13,078.10/18,048.55 = 7,413.08/x
  3. Step 3: Cross multiply
    13,078.10x = 18,048.55 × 7,413.08
  4. Step 4: Simplify right side
    13,078.10x = 133,795,371.62
  5. Step 5: Solve for x
    x = 133,795,371.62/13,078.10
  6. Step 6: Final answer
    x = 10,230.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.