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Finding the Fourth Proportional to 21,200.58, 29,257.68 and 11,769.14

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Solution

The fourth proportional to 21,200.58, 29,257.68 and 11,769.14 is: 16,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.58 : 29,257.68 = 11,769.14 : x
  2. Step 2: Convert to fraction form
    21,200.58/29,257.68 = 11,769.14/x
  3. Step 3: Cross multiply
    21,200.58x = 29,257.68 × 11,769.14
  4. Step 4: Simplify right side
    21,200.58x = 344,337,732.00
  5. Step 5: Solve for x
    x = 344,337,732.00/21,200.58
  6. Step 6: Final answer
    x = 16,241.90

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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.