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Finding the Fourth Proportional to 13,118.68, 18,103.20 and 7,453.41

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Solution

The fourth proportional to 13,118.68, 18,103.20 and 7,453.41 is: 10,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,118.68 : 18,103.20 = 7,453.41 : x
  2. Step 2: Convert to fraction form
    13,118.68/18,103.20 = 7,453.41/x
  3. Step 3: Cross multiply
    13,118.68x = 18,103.20 × 7,453.41
  4. Step 4: Simplify right side
    13,118.68x = 134,930,571.91
  5. Step 5: Solve for x
    x = 134,930,571.91/13,118.68
  6. Step 6: Final answer
    x = 10,285.38

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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.