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Finding the Fourth Proportional to 26,806.76, 40,212.36 and 10,166.76

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Solution

The fourth proportional to 26,806.76, 40,212.36 and 10,166.76 is: 15,250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,806.76 : 40,212.36 = 10,166.76 : x
  2. Step 2: Convert to fraction form
    26,806.76/40,212.36 = 10,166.76/x
  3. Step 3: Cross multiply
    26,806.76x = 40,212.36 × 10,166.76
  4. Step 4: Simplify right side
    26,806.76x = 408,829,413.15
  5. Step 5: Solve for x
    x = 408,829,413.15/26,806.76
  6. Step 6: Final answer
    x = 15,250.98

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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.