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Finding the Fourth Proportional to 21,092.12, 31,627.85 and 7,047.33

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Solution

The fourth proportional to 21,092.12, 31,627.85 and 7,047.33 is: 10,567.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,092.12 : 31,627.85 = 7,047.33 : x
  2. Step 2: Convert to fraction form
    21,092.12/31,627.85 = 7,047.33/x
  3. Step 3: Cross multiply
    21,092.12x = 31,627.85 × 7,047.33
  4. Step 4: Simplify right side
    21,092.12x = 222,891,896.14
  5. Step 5: Solve for x
    x = 222,891,896.14/21,092.12
  6. Step 6: Final answer
    x = 10,567.54

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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.