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Finding the Fourth Proportional to 23,413.20, 35,112.48 and 7,827.16

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Solution

The fourth proportional to 23,413.20, 35,112.48 and 7,827.16 is: 11,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,413.20 : 35,112.48 = 7,827.16 : x
  2. Step 2: Convert to fraction form
    23,413.20/35,112.48 = 7,827.16/x
  3. Step 3: Cross multiply
    23,413.20x = 35,112.48 × 7,827.16
  4. Step 4: Simplify right side
    23,413.20x = 274,830,998.96
  5. Step 5: Solve for x
    x = 274,830,998.96/23,413.20
  6. Step 6: Final answer
    x = 11,738.29

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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.