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Finding the Fourth Proportional to 12,511.14, 18,765.31 and 3,151.15

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Solution

The fourth proportional to 12,511.14, 18,765.31 and 3,151.15 is: 4,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,511.14 : 18,765.31 = 3,151.15 : x
  2. Step 2: Convert to fraction form
    12,511.14/18,765.31 = 3,151.15/x
  3. Step 3: Cross multiply
    12,511.14x = 18,765.31 × 3,151.15
  4. Step 4: Simplify right side
    12,511.14x = 59,132,290.85
  5. Step 5: Solve for x
    x = 59,132,290.85/12,511.14
  6. Step 6: Final answer
    x = 4,726.37

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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.