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Finding the Fourth Proportional to 20,122.69, 27,768 and 11,169.76

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Solution

The fourth proportional to 20,122.69, 27,768 and 11,169.76 is: 15,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122.69 : 27,768 = 11,169.76 : x
  2. Step 2: Convert to fraction form
    20,122.69/27,768 = 11,169.76/x
  3. Step 3: Cross multiply
    20,122.69x = 27,768 × 11,169.76
  4. Step 4: Simplify right side
    20,122.69x = 310,161,895.68
  5. Step 5: Solve for x
    x = 310,161,895.68/20,122.69
  6. Step 6: Final answer
    x = 15,413.54

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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.