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Finding the Fourth Proportional to 13,012.65, 19,517.49 and 3,653.43

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Solution

The fourth proportional to 13,012.65, 19,517.49 and 3,653.43 is: 5,479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.65 : 19,517.49 = 3,653.43 : x
  2. Step 2: Convert to fraction form
    13,012.65/19,517.49 = 3,653.43/x
  3. Step 3: Cross multiply
    13,012.65x = 19,517.49 × 3,653.43
  4. Step 4: Simplify right side
    13,012.65x = 71,305,783.49
  5. Step 5: Solve for x
    x = 71,305,783.49/13,012.65
  6. Step 6: Final answer
    x = 5,479.73

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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.