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Finding the Fourth Proportional to 13,078.28, 18,047.65 and 7,413.55

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Solution

The fourth proportional to 13,078.28, 18,047.65 and 7,413.55 is: 10,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.28 : 18,047.65 = 7,413.55 : x
  2. Step 2: Convert to fraction form
    13,078.28/18,047.65 = 7,413.55/x
  3. Step 3: Cross multiply
    13,078.28x = 18,047.65 × 7,413.55
  4. Step 4: Simplify right side
    13,078.28x = 133,797,146.24
  5. Step 5: Solve for x
    x = 133,797,146.24/13,078.28
  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.