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Finding the Fourth Proportional to 26,804.76, 40,196.34 and 8,079

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Solution

The fourth proportional to 26,804.76, 40,196.34 and 8,079 is: 12,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,804.76 : 40,196.34 = 8,079 : x
  2. Step 2: Convert to fraction form
    26,804.76/40,196.34 = 8,079/x
  3. Step 3: Cross multiply
    26,804.76x = 40,196.34 × 8,079
  4. Step 4: Simplify right side
    26,804.76x = 324,746,230.86
  5. Step 5: Solve for x
    x = 324,746,230.86/26,804.76
  6. Step 6: Final answer
    x = 12,115.24

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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.