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Finding the Fourth Proportional to 14,623.82, 20,179.64 and 8,654.44

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Solution

The fourth proportional to 14,623.82, 20,179.64 and 8,654.44 is: 11,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,623.82 : 20,179.64 = 8,654.44 : x
  2. Step 2: Convert to fraction form
    14,623.82/20,179.64 = 8,654.44/x
  3. Step 3: Cross multiply
    14,623.82x = 20,179.64 × 8,654.44
  4. Step 4: Simplify right side
    14,623.82x = 174,643,339.43
  5. Step 5: Solve for x
    x = 174,643,339.43/14,623.82
  6. Step 6: Final answer
    x = 11,942.39

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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.