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Finding the Fourth Proportional to 18,106.96, 27,163.02 and 5,628

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Solution

The fourth proportional to 18,106.96, 27,163.02 and 5,628 is: 8,442.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,106.96 : 27,163.02 = 5,628 : x
  2. Step 2: Convert to fraction form
    18,106.96/27,163.02 = 5,628/x
  3. Step 3: Cross multiply
    18,106.96x = 27,163.02 × 5,628
  4. Step 4: Simplify right side
    18,106.96x = 152,873,476.56
  5. Step 5: Solve for x
    x = 152,873,476.56/18,106.96
  6. Step 6: Final answer
    x = 8,442.80

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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.