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Finding the Fourth Proportional to 21,003.69, 31,511.68 and 6,213.00

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Solution

The fourth proportional to 21,003.69, 31,511.68 and 6,213.00 is: 9,321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,003.69 : 31,511.68 = 6,213.00 : x
  2. Step 2: Convert to fraction form
    21,003.69/31,511.68 = 6,213.00/x
  3. Step 3: Cross multiply
    21,003.69x = 31,511.68 × 6,213.00
  4. Step 4: Simplify right side
    21,003.69x = 195,782,205.42
  5. Step 5: Solve for x
    x = 195,782,205.42/21,003.69
  6. Step 6: Final answer
    x = 9,321.33

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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.