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Finding the Fourth Proportional to 23,776.62, 35,670.60 and 8,194.38

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Solution

The fourth proportional to 23,776.62, 35,670.60 and 8,194.38 is: 12,293.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.62 : 35,670.60 = 8,194.38 : x
  2. Step 2: Convert to fraction form
    23,776.62/35,670.60 = 8,194.38/x
  3. Step 3: Cross multiply
    23,776.62x = 35,670.60 × 8,194.38
  4. Step 4: Simplify right side
    23,776.62x = 292,298,451.23
  5. Step 5: Solve for x
    x = 292,298,451.23/23,776.62
  6. Step 6: Final answer
    x = 12,293.52

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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.