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Finding the Fourth Proportional to 13,404.92, 18,496.10 and 8,100.03

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Solution

The fourth proportional to 13,404.92, 18,496.10 and 8,100.03 is: 11,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,404.92 : 18,496.10 = 8,100.03 : x
  2. Step 2: Convert to fraction form
    13,404.92/18,496.10 = 8,100.03/x
  3. Step 3: Cross multiply
    13,404.92x = 18,496.10 × 8,100.03
  4. Step 4: Simplify right side
    13,404.92x = 149,818,924.38
  5. Step 5: Solve for x
    x = 149,818,924.38/13,404.92
  6. Step 6: Final answer
    x = 11,176.41

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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.