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Finding the Fourth Proportional to 12,617.76, 17,413.72 and 7,028.76

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Solution

The fourth proportional to 12,617.76, 17,413.72 and 7,028.76 is: 9,700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.76 : 17,413.72 = 7,028.76 : x
  2. Step 2: Convert to fraction form
    12,617.76/17,413.72 = 7,028.76/x
  3. Step 3: Cross multiply
    12,617.76x = 17,413.72 × 7,028.76
  4. Step 4: Simplify right side
    12,617.76x = 122,396,858.59
  5. Step 5: Solve for x
    x = 122,396,858.59/12,617.76
  6. Step 6: Final answer
    x = 9,700.36

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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.