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Finding the Fourth Proportional to 21,269.34, 31,894.75 and 6,474.82

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Solution

The fourth proportional to 21,269.34, 31,894.75 and 6,474.82 is: 9,709.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,269.34 : 31,894.75 = 6,474.82 : x
  2. Step 2: Convert to fraction form
    21,269.34/31,894.75 = 6,474.82/x
  3. Step 3: Cross multiply
    21,269.34x = 31,894.75 × 6,474.82
  4. Step 4: Simplify right side
    21,269.34x = 206,512,765.20
  5. Step 5: Solve for x
    x = 206,512,765.20/21,269.34
  6. Step 6: Final answer
    x = 9,709.41

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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.