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Finding the Fourth Proportional to 23,844.33, 35,767.17 and 6,314.18

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Solution

The fourth proportional to 23,844.33, 35,767.17 and 6,314.18 is: 9,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,844.33 : 35,767.17 = 6,314.18 : x
  2. Step 2: Convert to fraction form
    23,844.33/35,767.17 = 6,314.18/x
  3. Step 3: Cross multiply
    23,844.33x = 35,767.17 × 6,314.18
  4. Step 4: Simplify right side
    23,844.33x = 225,840,170.63
  5. Step 5: Solve for x
    x = 225,840,170.63/23,844.33
  6. Step 6: Final answer
    x = 9,471.44

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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.