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Finding the Fourth Proportional to 20,309.67, 30,456.43 and 7,822.80

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Solution

The fourth proportional to 20,309.67, 30,456.43 and 7,822.80 is: 11,731.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,309.67 : 30,456.43 = 7,822.80 : x
  2. Step 2: Convert to fraction form
    20,309.67/30,456.43 = 7,822.80/x
  3. Step 3: Cross multiply
    20,309.67x = 30,456.43 × 7,822.80
  4. Step 4: Simplify right side
    20,309.67x = 238,254,541.05
  5. Step 5: Solve for x
    x = 238,254,541.05/20,309.67
  6. Step 6: Final answer
    x = 11,731.09

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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.