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Finding the Fourth Proportional to 12,926.44, 19,418.82 and 7,735.96

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Solution

The fourth proportional to 12,926.44, 19,418.82 and 7,735.96 is: 11,621.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,926.44 : 19,418.82 = 7,735.96 : x
  2. Step 2: Convert to fraction form
    12,926.44/19,418.82 = 7,735.96/x
  3. Step 3: Cross multiply
    12,926.44x = 19,418.82 × 7,735.96
  4. Step 4: Simplify right side
    12,926.44x = 150,223,214.77
  5. Step 5: Solve for x
    x = 150,223,214.77/12,926.44
  6. Step 6: Final answer
    x = 11,621.39

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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.