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Finding the Fourth Proportional to 20,215.82, 30,310.02 and 7,061

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Solution

The fourth proportional to 20,215.82, 30,310.02 and 7,061 is: 10,586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,215.82 : 30,310.02 = 7,061 : x
  2. Step 2: Convert to fraction form
    20,215.82/30,310.02 = 7,061/x
  3. Step 3: Cross multiply
    20,215.82x = 30,310.02 × 7,061
  4. Step 4: Simplify right side
    20,215.82x = 214,019,051.22
  5. Step 5: Solve for x
    x = 214,019,051.22/20,215.82
  6. Step 6: Final answer
    x = 10,586.71

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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.