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Finding the Fourth Proportional to 12,884.70, 19,308.82 and 5,481.70

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Solution

The fourth proportional to 12,884.70, 19,308.82 and 5,481.70 is: 8,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.70 : 19,308.82 = 5,481.70 : x
  2. Step 2: Convert to fraction form
    12,884.70/19,308.82 = 5,481.70/x
  3. Step 3: Cross multiply
    12,884.70x = 19,308.82 × 5,481.70
  4. Step 4: Simplify right side
    12,884.70x = 105,845,144.89
  5. Step 5: Solve for x
    x = 105,845,144.89/12,884.70
  6. Step 6: Final answer
    x = 8,214.80

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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.