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Finding the Fourth Proportional to 19,697.41, 29,546.14 and 5,846.41

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Solution

The fourth proportional to 19,697.41, 29,546.14 and 5,846.41 is: 8,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.41 : 29,546.14 = 5,846.41 : x
  2. Step 2: Convert to fraction form
    19,697.41/29,546.14 = 5,846.41/x
  3. Step 3: Cross multiply
    19,697.41x = 29,546.14 × 5,846.41
  4. Step 4: Simplify right side
    19,697.41x = 172,738,700.63
  5. Step 5: Solve for x
    x = 172,738,700.63/19,697.41
  6. Step 6: Final answer
    x = 8,769.62

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Why These Related Problems?

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