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Finding the Fourth Proportional to 17,964.50, 24,791.26 and 10,411.38

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Solution

The fourth proportional to 17,964.50, 24,791.26 and 10,411.38 is: 14,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,964.50 : 24,791.26 = 10,411.38 : x
  2. Step 2: Convert to fraction form
    17,964.50/24,791.26 = 10,411.38/x
  3. Step 3: Cross multiply
    17,964.50x = 24,791.26 × 10,411.38
  4. Step 4: Simplify right side
    17,964.50x = 258,111,228.54
  5. Step 5: Solve for x
    x = 258,111,228.54/17,964.50
  6. Step 6: Final answer
    x = 14,367.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.