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Finding the Fourth Proportional to 15,841, 23,757.72 and 5,311.39

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Solution

The fourth proportional to 15,841, 23,757.72 and 5,311.39 is: 7,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841 : 23,757.72 = 5,311.39 : x
  2. Step 2: Convert to fraction form
    15,841/23,757.72 = 5,311.39/x
  3. Step 3: Cross multiply
    15,841x = 23,757.72 × 5,311.39
  4. Step 4: Simplify right side
    15,841x = 126,186,516.43
  5. Step 5: Solve for x
    x = 126,186,516.43/15,841
  6. Step 6: Final answer
    x = 7,965.82

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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.