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Finding the Fourth Proportional to 21,091.28, 29,104.44 and 11,660

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Solution

The fourth proportional to 21,091.28, 29,104.44 and 11,660 is: 16,089.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,091.28 : 29,104.44 = 11,660 : x
  2. Step 2: Convert to fraction form
    21,091.28/29,104.44 = 11,660/x
  3. Step 3: Cross multiply
    21,091.28x = 29,104.44 × 11,660
  4. Step 4: Simplify right side
    21,091.28x = 339,357,770.40
  5. Step 5: Solve for x
    x = 339,357,770.40/21,091.28
  6. Step 6: Final answer
    x = 16,089.96

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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.