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Finding the Fourth Proportional to 19,729.85, 29,593.96 and 10,959.17

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Solution

The fourth proportional to 19,729.85, 29,593.96 and 10,959.17 is: 16,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.85 : 29,593.96 = 10,959.17 : x
  2. Step 2: Convert to fraction form
    19,729.85/29,593.96 = 10,959.17/x
  3. Step 3: Cross multiply
    19,729.85x = 29,593.96 × 10,959.17
  4. Step 4: Simplify right side
    19,729.85x = 324,325,063.25
  5. Step 5: Solve for x
    x = 324,325,063.25/19,729.85
  6. Step 6: Final answer
    x = 16,438.30

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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.