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Finding the Fourth Proportional to 21,197.82, 29,254.32 and 11,766.54

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Solution

The fourth proportional to 21,197.82, 29,254.32 and 11,766.54 is: 16,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.82 : 29,254.32 = 11,766.54 : x
  2. Step 2: Convert to fraction form
    21,197.82/29,254.32 = 11,766.54/x
  3. Step 3: Cross multiply
    21,197.82x = 29,254.32 × 11,766.54
  4. Step 4: Simplify right side
    21,197.82x = 344,222,126.45
  5. Step 5: Solve for x
    x = 344,222,126.45/21,197.82
  6. Step 6: Final answer
    x = 16,238.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.