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Finding the Fourth Proportional to 26,822.09, 40,224.02 and 9,287.81

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Solution

The fourth proportional to 26,822.09, 40,224.02 and 9,287.81 is: 13,928.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,822.09 : 40,224.02 = 9,287.81 : x
  2. Step 2: Convert to fraction form
    26,822.09/40,224.02 = 9,287.81/x
  3. Step 3: Cross multiply
    26,822.09x = 40,224.02 × 9,287.81
  4. Step 4: Simplify right side
    26,822.09x = 373,593,109.32
  5. Step 5: Solve for x
    x = 373,593,109.32/26,822.09
  6. Step 6: Final answer
    x = 13,928.56

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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.