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Finding the Fourth Proportional to 26,804.16, 40,209.60 and 8,081.28

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Solution

The fourth proportional to 26,804.16, 40,209.60 and 8,081.28 is: 12,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,804.16 : 40,209.60 = 8,081.28 : x
  2. Step 2: Convert to fraction form
    26,804.16/40,209.60 = 8,081.28/x
  3. Step 3: Cross multiply
    26,804.16x = 40,209.60 × 8,081.28
  4. Step 4: Simplify right side
    26,804.16x = 324,945,036.29
  5. Step 5: Solve for x
    x = 324,945,036.29/26,804.16
  6. Step 6: Final answer
    x = 12,122.93

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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.