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Finding the Fourth Proportional to 13,701.25, 18,907.77 and 7,413.67

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Solution

The fourth proportional to 13,701.25, 18,907.77 and 7,413.67 is: 10,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.25 : 18,907.77 = 7,413.67 : x
  2. Step 2: Convert to fraction form
    13,701.25/18,907.77 = 7,413.67/x
  3. Step 3: Cross multiply
    13,701.25x = 18,907.77 × 7,413.67
  4. Step 4: Simplify right side
    13,701.25x = 140,175,967.22
  5. Step 5: Solve for x
    x = 140,175,967.22/13,701.25
  6. Step 6: Final answer
    x = 10,230.89

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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.