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Finding the Fourth Proportional to 21,196.97, 29,253.18 and 11,765.54

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Solution

The fourth proportional to 21,196.97, 29,253.18 and 11,765.54 is: 16,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,196.97 : 29,253.18 = 11,765.54 : x
  2. Step 2: Convert to fraction form
    21,196.97/29,253.18 = 11,765.54/x
  3. Step 3: Cross multiply
    21,196.97x = 29,253.18 × 11,765.54
  4. Step 4: Simplify right side
    21,196.97x = 344,179,313.15
  5. Step 5: Solve for x
    x = 344,179,313.15/21,196.97
  6. Step 6: Final answer
    x = 16,237.20

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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.