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Finding the Fourth Proportional to 27,662.30, 38,174 and 15,087.05

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Solution

The fourth proportional to 27,662.30, 38,174 and 15,087.05 is: 20,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,662.30 : 38,174 = 15,087.05 : x
  2. Step 2: Convert to fraction form
    27,662.30/38,174 = 15,087.05/x
  3. Step 3: Cross multiply
    27,662.30x = 38,174 × 15,087.05
  4. Step 4: Simplify right side
    27,662.30x = 575,933,046.70
  5. Step 5: Solve for x
    x = 575,933,046.70/27,662.30
  6. Step 6: Final answer
    x = 20,820.14

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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.