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Finding the Fourth Proportional to 13,413.15, 20,113.23 and 7,868.31

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Solution

The fourth proportional to 13,413.15, 20,113.23 and 7,868.31 is: 11,798.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.15 : 20,113.23 = 7,868.31 : x
  2. Step 2: Convert to fraction form
    13,413.15/20,113.23 = 7,868.31/x
  3. Step 3: Cross multiply
    13,413.15x = 20,113.23 × 7,868.31
  4. Step 4: Simplify right side
    13,413.15x = 158,257,128.74
  5. Step 5: Solve for x
    x = 158,257,128.74/13,413.15
  6. Step 6: Final answer
    x = 11,798.65

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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.