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Finding the Fourth Proportional to 26,413.68, 39,611.34 and 7,688.64

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Solution

The fourth proportional to 26,413.68, 39,611.34 and 7,688.64 is: 11,530.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,413.68 : 39,611.34 = 7,688.64 : x
  2. Step 2: Convert to fraction form
    26,413.68/39,611.34 = 7,688.64/x
  3. Step 3: Cross multiply
    26,413.68x = 39,611.34 × 7,688.64
  4. Step 4: Simplify right side
    26,413.68x = 304,557,333.18
  5. Step 5: Solve for x
    x = 304,557,333.18/26,413.68
  6. Step 6: Final answer
    x = 11,530.29

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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.