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Finding the Fourth Proportional to 22,996.40, 34,494.60 and 8,205.80

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Solution

The fourth proportional to 22,996.40, 34,494.60 and 8,205.80 is: 12,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.40 : 34,494.60 = 8,205.80 : x
  2. Step 2: Convert to fraction form
    22,996.40/34,494.60 = 8,205.80/x
  3. Step 3: Cross multiply
    22,996.40x = 34,494.60 × 8,205.80
  4. Step 4: Simplify right side
    22,996.40x = 283,055,788.68
  5. Step 5: Solve for x
    x = 283,055,788.68/22,996.40
  6. Step 6: Final answer
    x = 12,308.70

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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.