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Finding the Fourth Proportional to 23,736.96, 35,608.32 and 8,158.08

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Solution

The fourth proportional to 23,736.96, 35,608.32 and 8,158.08 is: 12,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,736.96 : 35,608.32 = 8,158.08 : x
  2. Step 2: Convert to fraction form
    23,736.96/35,608.32 = 8,158.08/x
  3. Step 3: Cross multiply
    23,736.96x = 35,608.32 × 8,158.08
  4. Step 4: Simplify right side
    23,736.96x = 290,495,523.23
  5. Step 5: Solve for x
    x = 290,495,523.23/23,736.96
  6. Step 6: Final answer
    x = 12,238.11

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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.