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Finding the Fourth Proportional to 13,413.32, 20,099.44 and 7,174.22

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Solution

The fourth proportional to 13,413.32, 20,099.44 and 7,174.22 is: 10,750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.32 : 20,099.44 = 7,174.22 : x
  2. Step 2: Convert to fraction form
    13,413.32/20,099.44 = 7,174.22/x
  3. Step 3: Cross multiply
    13,413.32x = 20,099.44 × 7,174.22
  4. Step 4: Simplify right side
    13,413.32x = 144,197,804.44
  5. Step 5: Solve for x
    x = 144,197,804.44/13,413.32
  6. Step 6: Final answer
    x = 10,750.34

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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.