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Finding the Fourth Proportional to 12,765.92, 19,147.86 and 8,072.24

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Solution

The fourth proportional to 12,765.92, 19,147.86 and 8,072.24 is: 12,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.92 : 19,147.86 = 8,072.24 : x
  2. Step 2: Convert to fraction form
    12,765.92/19,147.86 = 8,072.24/x
  3. Step 3: Cross multiply
    12,765.92x = 19,147.86 × 8,072.24
  4. Step 4: Simplify right side
    12,765.92x = 154,566,121.41
  5. Step 5: Solve for x
    x = 154,566,121.41/12,765.92
  6. Step 6: Final answer
    x = 12,107.72

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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.