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Finding the Fourth Proportional to 23,751.28, 35,633.44 and 8,170.16

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Solution

The fourth proportional to 23,751.28, 35,633.44 and 8,170.16 is: 12,257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,751.28 : 35,633.44 = 8,170.16 : x
  2. Step 2: Convert to fraction form
    23,751.28/35,633.44 = 8,170.16/x
  3. Step 3: Cross multiply
    23,751.28x = 35,633.44 × 8,170.16
  4. Step 4: Simplify right side
    23,751.28x = 291,130,906.15
  5. Step 5: Solve for x
    x = 291,130,906.15/23,751.28
  6. Step 6: Final answer
    x = 12,257.48

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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.