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Finding the Fourth Proportional to 26,809.21, 40,185.42 and 9,022.93

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Solution

The fourth proportional to 26,809.21, 40,185.42 and 9,022.93 is: 13,524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,809.21 : 40,185.42 = 9,022.93 : x
  2. Step 2: Convert to fraction form
    26,809.21/40,185.42 = 9,022.93/x
  3. Step 3: Cross multiply
    26,809.21x = 40,185.42 × 9,022.93
  4. Step 4: Simplify right side
    26,809.21x = 362,590,231.68
  5. Step 5: Solve for x
    x = 362,590,231.68/26,809.21
  6. Step 6: Final answer
    x = 13,524.84

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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.