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Finding the Fourth Proportional to 26,548.46, 39,822.69 and 9,907.82

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Solution

The fourth proportional to 26,548.46, 39,822.69 and 9,907.82 is: 14,861.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,548.46 : 39,822.69 = 9,907.82 : x
  2. Step 2: Convert to fraction form
    26,548.46/39,822.69 = 9,907.82/x
  3. Step 3: Cross multiply
    26,548.46x = 39,822.69 × 9,907.82
  4. Step 4: Simplify right side
    26,548.46x = 394,556,044.44
  5. Step 5: Solve for x
    x = 394,556,044.44/26,548.46
  6. Step 6: Final answer
    x = 14,861.73

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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.