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Finding the Fourth Proportional to 18,513.96, 27,760 and 7,425.87

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Solution

The fourth proportional to 18,513.96, 27,760 and 7,425.87 is: 11,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,513.96 : 27,760 = 7,425.87 : x
  2. Step 2: Convert to fraction form
    18,513.96/27,760 = 7,425.87/x
  3. Step 3: Cross multiply
    18,513.96x = 27,760 × 7,425.87
  4. Step 4: Simplify right side
    18,513.96x = 206,142,151.20
  5. Step 5: Solve for x
    x = 206,142,151.20/18,513.96
  6. Step 6: Final answer
    x = 11,134.42

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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.