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Finding the Fourth Proportional to 21,732.57, 32,540.44 and 13,792.09

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Solution

The fourth proportional to 21,732.57, 32,540.44 and 13,792.09 is: 20,651.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732.57 : 32,540.44 = 13,792.09 : x
  2. Step 2: Convert to fraction form
    21,732.57/32,540.44 = 13,792.09/x
  3. Step 3: Cross multiply
    21,732.57x = 32,540.44 × 13,792.09
  4. Step 4: Simplify right side
    21,732.57x = 448,800,677.12
  5. Step 5: Solve for x
    x = 448,800,677.12/21,732.57
  6. Step 6: Final answer
    x = 20,651.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.