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Finding the Fourth Proportional to 14,883.42, 20,539.38 and 8,169.68

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Solution

The fourth proportional to 14,883.42, 20,539.38 and 8,169.68 is: 11,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,883.42 : 20,539.38 = 8,169.68 : x
  2. Step 2: Convert to fraction form
    14,883.42/20,539.38 = 8,169.68/x
  3. Step 3: Cross multiply
    14,883.42x = 20,539.38 × 8,169.68
  4. Step 4: Simplify right side
    14,883.42x = 167,800,059.30
  5. Step 5: Solve for x
    x = 167,800,059.30/14,883.42
  6. Step 6: Final answer
    x = 11,274.29

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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.