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Finding the Fourth Proportional to 27,585.76, 38,067 and 15,650.20

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Solution

The fourth proportional to 27,585.76, 38,067 and 15,650.20 is: 21,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,585.76 : 38,067 = 15,650.20 : x
  2. Step 2: Convert to fraction form
    27,585.76/38,067 = 15,650.20/x
  3. Step 3: Cross multiply
    27,585.76x = 38,067 × 15,650.20
  4. Step 4: Simplify right side
    27,585.76x = 595,756,163.40
  5. Step 5: Solve for x
    x = 595,756,163.40/27,585.76
  6. Step 6: Final answer
    x = 21,596.51

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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.