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Finding the Fourth Proportional to 24,769.96, 37,142.76 and 8,126.92

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Solution

The fourth proportional to 24,769.96, 37,142.76 and 8,126.92 is: 12,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,769.96 : 37,142.76 = 8,126.92 : x
  2. Step 2: Convert to fraction form
    24,769.96/37,142.76 = 8,126.92/x
  3. Step 3: Cross multiply
    24,769.96x = 37,142.76 × 8,126.92
  4. Step 4: Simplify right side
    24,769.96x = 301,856,239.10
  5. Step 5: Solve for x
    x = 301,856,239.10/24,769.96
  6. Step 6: Final answer
    x = 12,186.38

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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.