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Finding the Fourth Proportional to 23,217.12, 34,814.88 and 8,425.44

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Solution

The fourth proportional to 23,217.12, 34,814.88 and 8,425.44 is: 12,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,217.12 : 34,814.88 = 8,425.44 : x
  2. Step 2: Convert to fraction form
    23,217.12/34,814.88 = 8,425.44/x
  3. Step 3: Cross multiply
    23,217.12x = 34,814.88 × 8,425.44
  4. Step 4: Simplify right side
    23,217.12x = 293,330,682.55
  5. Step 5: Solve for x
    x = 293,330,682.55/23,217.12
  6. Step 6: Final answer
    x = 12,634.24

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