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Finding the Fourth Proportional to 23,002.26, 34,509.68 and 8,212.68

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Solution

The fourth proportional to 23,002.26, 34,509.68 and 8,212.68 is: 12,321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,002.26 : 34,509.68 = 8,212.68 : x
  2. Step 2: Convert to fraction form
    23,002.26/34,509.68 = 8,212.68/x
  3. Step 3: Cross multiply
    23,002.26x = 34,509.68 × 8,212.68
  4. Step 4: Simplify right side
    23,002.26x = 283,416,917.68
  5. Step 5: Solve for x
    x = 283,416,917.68/23,002.26
  6. Step 6: Final answer
    x = 12,321.26

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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.