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Finding the Fourth Proportional to 20,433.72, 30,654.23 and 7,960.53

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Solution

The fourth proportional to 20,433.72, 30,654.23 and 7,960.53 is: 11,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,433.72 : 30,654.23 = 7,960.53 : x
  2. Step 2: Convert to fraction form
    20,433.72/30,654.23 = 7,960.53/x
  3. Step 3: Cross multiply
    20,433.72x = 30,654.23 × 7,960.53
  4. Step 4: Simplify right side
    20,433.72x = 244,023,877.74
  5. Step 5: Solve for x
    x = 244,023,877.74/20,433.72
  6. Step 6: Final answer
    x = 11,942.22

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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.