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Finding the Fourth Proportional to 24,850.89, 37,268.46 and 8,207.82

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Solution

The fourth proportional to 24,850.89, 37,268.46 and 8,207.82 is: 12,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,850.89 : 37,268.46 = 8,207.82 : x
  2. Step 2: Convert to fraction form
    24,850.89/37,268.46 = 8,207.82/x
  3. Step 3: Cross multiply
    24,850.89x = 37,268.46 × 8,207.82
  4. Step 4: Simplify right side
    24,850.89x = 305,892,811.36
  5. Step 5: Solve for x
    x = 305,892,811.36/24,850.89
  6. Step 6: Final answer
    x = 12,309.13

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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.