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Finding the Fourth Proportional to 20,381.84, 30,577.38 and 7,234.22

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Solution

The fourth proportional to 20,381.84, 30,577.38 and 7,234.22 is: 10,852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,381.84 : 30,577.38 = 7,234.22 : x
  2. Step 2: Convert to fraction form
    20,381.84/30,577.38 = 7,234.22/x
  3. Step 3: Cross multiply
    20,381.84x = 30,577.38 × 7,234.22
  4. Step 4: Simplify right side
    20,381.84x = 221,203,493.94
  5. Step 5: Solve for x
    x = 221,203,493.94/20,381.84
  6. Step 6: Final answer
    x = 10,852.97

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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.