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Finding the Fourth Proportional to 20,813.22, 31,205.22 and 7,663.90

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Solution

The fourth proportional to 20,813.22, 31,205.22 and 7,663.90 is: 11,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,813.22 : 31,205.22 = 7,663.90 : x
  2. Step 2: Convert to fraction form
    20,813.22/31,205.22 = 7,663.90/x
  3. Step 3: Cross multiply
    20,813.22x = 31,205.22 × 7,663.90
  4. Step 4: Simplify right side
    20,813.22x = 239,153,685.56
  5. Step 5: Solve for x
    x = 239,153,685.56/20,813.22
  6. Step 6: Final answer
    x = 11,490.47

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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.