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Finding the Fourth Proportional to 24,313.89, 36,470.84 and 5,845.89

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Solution

The fourth proportional to 24,313.89, 36,470.84 and 5,845.89 is: 8,768.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313.89 : 36,470.84 = 5,845.89 : x
  2. Step 2: Convert to fraction form
    24,313.89/36,470.84 = 5,845.89/x
  3. Step 3: Cross multiply
    24,313.89x = 36,470.84 × 5,845.89
  4. Step 4: Simplify right side
    24,313.89x = 213,204,489.62
  5. Step 5: Solve for x
    x = 213,204,489.62/24,313.89
  6. Step 6: Final answer
    x = 8,768.84

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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.