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Finding the Fourth Proportional to 23,824.72, 35,725.50 and 7,181.66

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Solution

The fourth proportional to 23,824.72, 35,725.50 and 7,181.66 is: 10,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.72 : 35,725.50 = 7,181.66 : x
  2. Step 2: Convert to fraction form
    23,824.72/35,725.50 = 7,181.66/x
  3. Step 3: Cross multiply
    23,824.72x = 35,725.50 × 7,181.66
  4. Step 4: Simplify right side
    23,824.72x = 256,568,394.33
  5. Step 5: Solve for x
    x = 256,568,394.33/23,824.72
  6. Step 6: Final answer
    x = 10,769.00

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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.