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Finding the Fourth Proportional to 24,850.69, 37,268.10 and 8,207.62

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Solution

The fourth proportional to 24,850.69, 37,268.10 and 8,207.62 is: 12,308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,850.69 : 37,268.10 = 8,207.62 : x
  2. Step 2: Convert to fraction form
    24,850.69/37,268.10 = 8,207.62/x
  3. Step 3: Cross multiply
    24,850.69x = 37,268.10 × 8,207.62
  4. Step 4: Simplify right side
    24,850.69x = 305,882,402.92
  5. Step 5: Solve for x
    x = 305,882,402.92/24,850.69
  6. Step 6: Final answer
    x = 12,308.81

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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.