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Finding the Fourth Proportional to 27,884.70, 38,480.92 and 15,137.88

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Solution

The fourth proportional to 27,884.70, 38,480.92 and 15,137.88 is: 20,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.70 : 38,480.92 = 15,137.88 : x
  2. Step 2: Convert to fraction form
    27,884.70/38,480.92 = 15,137.88/x
  3. Step 3: Cross multiply
    27,884.70x = 38,480.92 × 15,137.88
  4. Step 4: Simplify right side
    27,884.70x = 582,519,549.25
  5. Step 5: Solve for x
    x = 582,519,549.25/27,884.70
  6. Step 6: Final answer
    x = 20,890.29

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1.5x scale

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.