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Finding the Fourth Proportional to 18,383.76, 27,575.98 and 5,236.48

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Solution

The fourth proportional to 18,383.76, 27,575.98 and 5,236.48 is: 7,854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,383.76 : 27,575.98 = 5,236.48 : x
  2. Step 2: Convert to fraction form
    18,383.76/27,575.98 = 5,236.48/x
  3. Step 3: Cross multiply
    18,383.76x = 27,575.98 × 5,236.48
  4. Step 4: Simplify right side
    18,383.76x = 144,401,067.75
  5. Step 5: Solve for x
    x = 144,401,067.75/18,383.76
  6. Step 6: Final answer
    x = 7,854.82

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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.