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Finding the Fourth Proportional to 20,810.75, 31,219.23 and 7,662.11

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Solution

The fourth proportional to 20,810.75, 31,219.23 and 7,662.11 is: 11,494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810.75 : 31,219.23 = 7,662.11 : x
  2. Step 2: Convert to fraction form
    20,810.75/31,219.23 = 7,662.11/x
  3. Step 3: Cross multiply
    20,810.75x = 31,219.23 × 7,662.11
  4. Step 4: Simplify right side
    20,810.75x = 239,205,174.38
  5. Step 5: Solve for x
    x = 239,205,174.38/20,810.75
  6. Step 6: Final answer
    x = 11,494.31

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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.