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Finding the Fourth Proportional to 14,893.45, 20,551.68 and 8,179

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Solution

The fourth proportional to 14,893.45, 20,551.68 and 8,179 is: 11,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,893.45 : 20,551.68 = 8,179 : x
  2. Step 2: Convert to fraction form
    14,893.45/20,551.68 = 8,179/x
  3. Step 3: Cross multiply
    14,893.45x = 20,551.68 × 8,179
  4. Step 4: Simplify right side
    14,893.45x = 168,092,190.72
  5. Step 5: Solve for x
    x = 168,092,190.72/14,893.45
  6. Step 6: Final answer
    x = 11,286.32

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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.