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Finding the Fourth Proportional to 24,105.67, 36,181.88 and 11,634.47

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Solution

The fourth proportional to 24,105.67, 36,181.88 and 11,634.47 is: 17,462.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,105.67 : 36,181.88 = 11,634.47 : x
  2. Step 2: Convert to fraction form
    24,105.67/36,181.88 = 11,634.47/x
  3. Step 3: Cross multiply
    24,105.67x = 36,181.88 × 11,634.47
  4. Step 4: Simplify right side
    24,105.67x = 420,956,997.40
  5. Step 5: Solve for x
    x = 420,956,997.40/24,105.67
  6. Step 6: Final answer
    x = 17,462.99

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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.