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Finding the Fourth Proportional to 28,190.14, 42,287.70 and 7,413.64

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Solution

The fourth proportional to 28,190.14, 42,287.70 and 7,413.64 is: 11,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,190.14 : 42,287.70 = 7,413.64 : x
  2. Step 2: Convert to fraction form
    28,190.14/42,287.70 = 7,413.64/x
  3. Step 3: Cross multiply
    28,190.14x = 42,287.70 × 7,413.64
  4. Step 4: Simplify right side
    28,190.14x = 313,505,784.23
  5. Step 5: Solve for x
    x = 313,505,784.23/28,190.14
  6. Step 6: Final answer
    x = 11,121.11

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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.