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Finding the Fourth Proportional to 13,179.10, 19,762.89 and 3,942.94

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Solution

The fourth proportional to 13,179.10, 19,762.89 and 3,942.94 is: 5,912.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,179.10 : 19,762.89 = 3,942.94 : x
  2. Step 2: Convert to fraction form
    13,179.10/19,762.89 = 3,942.94/x
  3. Step 3: Cross multiply
    13,179.10x = 19,762.89 × 3,942.94
  4. Step 4: Simplify right side
    13,179.10x = 77,923,889.50
  5. Step 5: Solve for x
    x = 77,923,889.50/13,179.10
  6. Step 6: Final answer
    x = 5,912.69

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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.