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Finding the Fourth Proportional to 27,990, 38,626.20 and 15,414.75

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Solution

The fourth proportional to 27,990, 38,626.20 and 15,414.75 is: 21,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,990 : 38,626.20 = 15,414.75 : x
  2. Step 2: Convert to fraction form
    27,990/38,626.20 = 15,414.75/x
  3. Step 3: Cross multiply
    27,990x = 38,626.20 × 15,414.75
  4. Step 4: Simplify right side
    27,990x = 595,413,216.45
  5. Step 5: Solve for x
    x = 595,413,216.45/27,990
  6. Step 6: Final answer
    x = 21,272.36

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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.