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Finding the Fourth Proportional to 13,049.84, 19,571.25 and 3,687.65

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Solution

The fourth proportional to 13,049.84, 19,571.25 and 3,687.65 is: 5,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.84 : 19,571.25 = 3,687.65 : x
  2. Step 2: Convert to fraction form
    13,049.84/19,571.25 = 3,687.65/x
  3. Step 3: Cross multiply
    13,049.84x = 19,571.25 × 3,687.65
  4. Step 4: Simplify right side
    13,049.84x = 72,171,968.99
  5. Step 5: Solve for x
    x = 72,171,968.99/13,049.84
  6. Step 6: Final answer
    x = 5,530.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.