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Finding the Fourth Proportional to 20,274.98, 30,383.82 and 9,589.91

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Solution

The fourth proportional to 20,274.98, 30,383.82 and 9,589.91 is: 14,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274.98 : 30,383.82 = 9,589.91 : x
  2. Step 2: Convert to fraction form
    20,274.98/30,383.82 = 9,589.91/x
  3. Step 3: Cross multiply
    20,274.98x = 30,383.82 × 9,589.91
  4. Step 4: Simplify right side
    20,274.98x = 291,377,947.34
  5. Step 5: Solve for x
    x = 291,377,947.34/20,274.98
  6. Step 6: Final answer
    x = 14,371.31

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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.