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Finding the Fourth Proportional to 12,715.32, 19,072.78 and 3,481.32

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Solution

The fourth proportional to 12,715.32, 19,072.78 and 3,481.32 is: 5,221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,715.32 : 19,072.78 = 3,481.32 : x
  2. Step 2: Convert to fraction form
    12,715.32/19,072.78 = 3,481.32/x
  3. Step 3: Cross multiply
    12,715.32x = 19,072.78 × 3,481.32
  4. Step 4: Simplify right side
    12,715.32x = 66,398,441.77
  5. Step 5: Solve for x
    x = 66,398,441.77/12,715.32
  6. Step 6: Final answer
    x = 5,221.92

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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.