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Finding the Fourth Proportional to 20,101.65, 27,736.20 and 11,147.10

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Solution

The fourth proportional to 20,101.65, 27,736.20 and 11,147.10 is: 15,380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.65 : 27,736.20 = 11,147.10 : x
  2. Step 2: Convert to fraction form
    20,101.65/27,736.20 = 11,147.10/x
  3. Step 3: Cross multiply
    20,101.65x = 27,736.20 × 11,147.10
  4. Step 4: Simplify right side
    20,101.65x = 309,178,195.02
  5. Step 5: Solve for x
    x = 309,178,195.02/20,101.65
  6. Step 6: Final answer
    x = 15,380.74

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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.