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Finding the Fourth Proportional to 20,844.68, 28,765.74 and 11,413.16

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Solution

The fourth proportional to 20,844.68, 28,765.74 and 11,413.16 is: 15,750.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,844.68 : 28,765.74 = 11,413.16 : x
  2. Step 2: Convert to fraction form
    20,844.68/28,765.74 = 11,413.16/x
  3. Step 3: Cross multiply
    20,844.68x = 28,765.74 × 11,413.16
  4. Step 4: Simplify right side
    20,844.68x = 328,307,993.14
  5. Step 5: Solve for x
    x = 328,307,993.14/20,844.68
  6. Step 6: Final answer
    x = 15,750.21

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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.