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Finding the Fourth Proportional to 23,007.94, 34,515.18 and 8,213.74

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Solution

The fourth proportional to 23,007.94, 34,515.18 and 8,213.74 is: 12,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,007.94 : 34,515.18 = 8,213.74 : x
  2. Step 2: Convert to fraction form
    23,007.94/34,515.18 = 8,213.74/x
  3. Step 3: Cross multiply
    23,007.94x = 34,515.18 × 8,213.74
  4. Step 4: Simplify right side
    23,007.94x = 283,498,714.57
  5. Step 5: Solve for x
    x = 283,498,714.57/23,007.94
  6. Step 6: Final answer
    x = 12,321.78

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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.