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Finding the Fourth Proportional to 21,284.22, 31,930.14 and 7,243.54

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Solution

The fourth proportional to 21,284.22, 31,930.14 and 7,243.54 is: 10,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,284.22 : 31,930.14 = 7,243.54 : x
  2. Step 2: Convert to fraction form
    21,284.22/31,930.14 = 7,243.54/x
  3. Step 3: Cross multiply
    21,284.22x = 31,930.14 × 7,243.54
  4. Step 4: Simplify right side
    21,284.22x = 231,287,246.30
  5. Step 5: Solve for x
    x = 231,287,246.30/21,284.22
  6. Step 6: Final answer
    x = 10,866.61

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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.