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Finding the Fourth Proportional to 20,383.64, 30,578.49 and 7,234.91

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Solution

The fourth proportional to 20,383.64, 30,578.49 and 7,234.91 is: 10,853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,383.64 : 30,578.49 = 7,234.91 : x
  2. Step 2: Convert to fraction form
    20,383.64/30,578.49 = 7,234.91/x
  3. Step 3: Cross multiply
    20,383.64x = 30,578.49 × 7,234.91
  4. Step 4: Simplify right side
    20,383.64x = 221,232,623.09
  5. Step 5: Solve for x
    x = 221,232,623.09/20,383.64
  6. Step 6: Final answer
    x = 10,853.44

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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.