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Finding the Fourth Proportional to 21,020.28, 29,007.96 and 11,589

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Solution

The fourth proportional to 21,020.28, 29,007.96 and 11,589 is: 15,992.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,020.28 : 29,007.96 = 11,589 : x
  2. Step 2: Convert to fraction form
    21,020.28/29,007.96 = 11,589/x
  3. Step 3: Cross multiply
    21,020.28x = 29,007.96 × 11,589
  4. Step 4: Simplify right side
    21,020.28x = 336,173,248.44
  5. Step 5: Solve for x
    x = 336,173,248.44/21,020.28
  6. Step 6: Final answer
    x = 15,992.81

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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.