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Finding the Fourth Proportional to 13,601.79, 20,413.62 and 7,029.90

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Solution

The fourth proportional to 13,601.79, 20,413.62 and 7,029.90 is: 10,550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,601.79 : 20,413.62 = 7,029.90 : x
  2. Step 2: Convert to fraction form
    13,601.79/20,413.62 = 7,029.90/x
  3. Step 3: Cross multiply
    13,601.79x = 20,413.62 × 7,029.90
  4. Step 4: Simplify right side
    13,601.79x = 143,505,707.24
  5. Step 5: Solve for x
    x = 143,505,707.24/13,601.79
  6. Step 6: Final answer
    x = 10,550.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.