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Finding the Fourth Proportional to 20,945.69, 31,418.69 and 6,154.82

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Solution

The fourth proportional to 20,945.69, 31,418.69 and 6,154.82 is: 9,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,945.69 : 31,418.69 = 6,154.82 : x
  2. Step 2: Convert to fraction form
    20,945.69/31,418.69 = 6,154.82/x
  3. Step 3: Cross multiply
    20,945.69x = 31,418.69 × 6,154.82
  4. Step 4: Simplify right side
    20,945.69x = 193,376,311.54
  5. Step 5: Solve for x
    x = 193,376,311.54/20,945.69
  6. Step 6: Final answer
    x = 9,232.27

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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.