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Finding the Fourth Proportional to 12,961.36, 19,437.24 and 10,193.44

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Solution

The fourth proportional to 12,961.36, 19,437.24 and 10,193.44 is: 15,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.36 : 19,437.24 = 10,193.44 : x
  2. Step 2: Convert to fraction form
    12,961.36/19,437.24 = 10,193.44/x
  3. Step 3: Cross multiply
    12,961.36x = 19,437.24 × 10,193.44
  4. Step 4: Simplify right side
    12,961.36x = 198,132,339.71
  5. Step 5: Solve for x
    x = 198,132,339.71/12,961.36
  6. Step 6: Final answer
    x = 15,286.39

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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.