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Finding the Fourth Proportional to 23,917.64, 35,878.28 and 7,279.09

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Solution

The fourth proportional to 23,917.64, 35,878.28 and 7,279.09 is: 10,919.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,917.64 : 35,878.28 = 7,279.09 : x
  2. Step 2: Convert to fraction form
    23,917.64/35,878.28 = 7,279.09/x
  3. Step 3: Cross multiply
    23,917.64x = 35,878.28 × 7,279.09
  4. Step 4: Simplify right side
    23,917.64x = 261,161,103.07
  5. Step 5: Solve for x
    x = 261,161,103.07/23,917.64
  6. Step 6: Final answer
    x = 10,919.19

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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.