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Finding the Fourth Proportional to 21,151.88, 31,728.33 and 7,112.09

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Solution

The fourth proportional to 21,151.88, 31,728.33 and 7,112.09 is: 10,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,151.88 : 31,728.33 = 7,112.09 : x
  2. Step 2: Convert to fraction form
    21,151.88/31,728.33 = 7,112.09/x
  3. Step 3: Cross multiply
    21,151.88x = 31,728.33 × 7,112.09
  4. Step 4: Simplify right side
    21,151.88x = 225,654,544.31
  5. Step 5: Solve for x
    x = 225,654,544.31/21,151.88
  6. Step 6: Final answer
    x = 10,668.30

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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.