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Finding the Fourth Proportional to 14,467.14, 19,965.96 and 8,179.38

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Solution

The fourth proportional to 14,467.14, 19,965.96 and 8,179.38 is: 11,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467.14 : 19,965.96 = 8,179.38 : x
  2. Step 2: Convert to fraction form
    14,467.14/19,965.96 = 8,179.38/x
  3. Step 3: Cross multiply
    14,467.14x = 19,965.96 × 8,179.38
  4. Step 4: Simplify right side
    14,467.14x = 163,309,173.90
  5. Step 5: Solve for x
    x = 163,309,173.90/14,467.14
  6. Step 6: Final answer
    x = 11,288.28

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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.