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Finding the Fourth Proportional to 17,814.50, 26,704.13 and 8,438.05

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Solution

The fourth proportional to 17,814.50, 26,704.13 and 8,438.05 is: 12,648.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,814.50 : 26,704.13 = 8,438.05 : x
  2. Step 2: Convert to fraction form
    17,814.50/26,704.13 = 8,438.05/x
  3. Step 3: Cross multiply
    17,814.50x = 26,704.13 × 8,438.05
  4. Step 4: Simplify right side
    17,814.50x = 225,330,784.15
  5. Step 5: Solve for x
    x = 225,330,784.15/17,814.50
  6. Step 6: Final answer
    x = 12,648.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.