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Finding the Fourth Proportional to 21,201.38, 31,805.58 and 7,162.74

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Solution

The fourth proportional to 21,201.38, 31,805.58 and 7,162.74 is: 10,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.38 : 31,805.58 = 7,162.74 : x
  2. Step 2: Convert to fraction form
    21,201.38/31,805.58 = 7,162.74/x
  3. Step 3: Cross multiply
    21,201.38x = 31,805.58 × 7,162.74
  4. Step 4: Simplify right side
    21,201.38x = 227,815,100.09
  5. Step 5: Solve for x
    x = 227,815,100.09/21,201.38
  6. Step 6: Final answer
    x = 10,745.30

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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.