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Finding the Fourth Proportional to 12,614.37, 17,281.77 and 12,141.44

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Solution

The fourth proportional to 12,614.37, 17,281.77 and 12,141.44 is: 16,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.37 : 17,281.77 = 12,141.44 : x
  2. Step 2: Convert to fraction form
    12,614.37/17,281.77 = 12,141.44/x
  3. Step 3: Cross multiply
    12,614.37x = 17,281.77 × 12,141.44
  4. Step 4: Simplify right side
    12,614.37x = 209,825,487.14
  5. Step 5: Solve for x
    x = 209,825,487.14/12,614.37
  6. Step 6: Final answer
    x = 16,633.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.