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Finding the Fourth Proportional to 13,712.40, 20,566.40 and 4,942.80

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Solution

The fourth proportional to 13,712.40, 20,566.40 and 4,942.80 is: 7,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.40 : 20,566.40 = 4,942.80 : x
  2. Step 2: Convert to fraction form
    13,712.40/20,566.40 = 4,942.80/x
  3. Step 3: Cross multiply
    13,712.40x = 20,566.40 × 4,942.80
  4. Step 4: Simplify right side
    13,712.40x = 101,655,601.92
  5. Step 5: Solve for x
    x = 101,655,601.92/13,712.40
  6. Step 6: Final answer
    x = 7,413.41

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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.