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Finding the Fourth Proportional to 23,284.25, 34,940.39 and 8,494.46

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Solution

The fourth proportional to 23,284.25, 34,940.39 and 8,494.46 is: 12,746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284.25 : 34,940.39 = 8,494.46 : x
  2. Step 2: Convert to fraction form
    23,284.25/34,940.39 = 8,494.46/x
  3. Step 3: Cross multiply
    23,284.25x = 34,940.39 × 8,494.46
  4. Step 4: Simplify right side
    23,284.25x = 296,799,528.07
  5. Step 5: Solve for x
    x = 296,799,528.07/23,284.25
  6. Step 6: Final answer
    x = 12,746.80

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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.