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Finding the Fourth Proportional to 13,343.42, 18,413.74 and 7,375.20

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Solution

The fourth proportional to 13,343.42, 18,413.74 and 7,375.20 is: 10,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,343.42 : 18,413.74 = 7,375.20 : x
  2. Step 2: Convert to fraction form
    13,343.42/18,413.74 = 7,375.20/x
  3. Step 3: Cross multiply
    13,343.42x = 18,413.74 × 7,375.20
  4. Step 4: Simplify right side
    13,343.42x = 135,804,923.18
  5. Step 5: Solve for x
    x = 135,804,923.18/13,343.42
  6. Step 6: Final answer
    x = 10,177.67

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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.