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Finding the Fourth Proportional to 20,120.07, 27,765.69 and 11,169

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Solution

The fourth proportional to 20,120.07, 27,765.69 and 11,169 is: 15,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,120.07 : 27,765.69 = 11,169 : x
  2. Step 2: Convert to fraction form
    20,120.07/27,765.69 = 11,169/x
  3. Step 3: Cross multiply
    20,120.07x = 27,765.69 × 11,169
  4. Step 4: Simplify right side
    20,120.07x = 310,114,991.61
  5. Step 5: Solve for x
    x = 310,114,991.61/20,120.07
  6. Step 6: Final answer
    x = 15,413.22

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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.