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Finding the Fourth Proportional to 13,575.38, 18,727.68 and 8,542.37

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Solution

The fourth proportional to 13,575.38, 18,727.68 and 8,542.37 is: 11,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.38 : 18,727.68 = 8,542.37 : x
  2. Step 2: Convert to fraction form
    13,575.38/18,727.68 = 8,542.37/x
  3. Step 3: Cross multiply
    13,575.38x = 18,727.68 × 8,542.37
  4. Step 4: Simplify right side
    13,575.38x = 159,978,771.80
  5. Step 5: Solve for x
    x = 159,978,771.80/13,575.38
  6. Step 6: Final answer
    x = 11,784.48

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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.