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Finding the Fourth Proportional to 21,109.38, 31,674.69 and 7,961.82

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Solution

The fourth proportional to 21,109.38, 31,674.69 and 7,961.82 is: 11,946.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,109.38 : 31,674.69 = 7,961.82 : x
  2. Step 2: Convert to fraction form
    21,109.38/31,674.69 = 7,961.82/x
  3. Step 3: Cross multiply
    21,109.38x = 31,674.69 × 7,961.82
  4. Step 4: Simplify right side
    21,109.38x = 252,188,180.34
  5. Step 5: Solve for x
    x = 252,188,180.34/21,109.38
  6. Step 6: Final answer
    x = 11,946.74

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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.