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Finding the Fourth Proportional to 13,415.02, 18,519.39 and 8,382.03

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Solution

The fourth proportional to 13,415.02, 18,519.39 and 8,382.03 is: 11,571.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.02 : 18,519.39 = 8,382.03 : x
  2. Step 2: Convert to fraction form
    13,415.02/18,519.39 = 8,382.03/x
  3. Step 3: Cross multiply
    13,415.02x = 18,519.39 × 8,382.03
  4. Step 4: Simplify right side
    13,415.02x = 155,230,082.56
  5. Step 5: Solve for x
    x = 155,230,082.56/13,415.02
  6. Step 6: Final answer
    x = 11,571.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.