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Finding the Fourth Proportional to 20,162.76, 27,824.04 and 11,548.68

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Solution

The fourth proportional to 20,162.76, 27,824.04 and 11,548.68 is: 15,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162.76 : 27,824.04 = 11,548.68 : x
  2. Step 2: Convert to fraction form
    20,162.76/27,824.04 = 11,548.68/x
  3. Step 3: Cross multiply
    20,162.76x = 27,824.04 × 11,548.68
  4. Step 4: Simplify right side
    20,162.76x = 321,330,934.27
  5. Step 5: Solve for x
    x = 321,330,934.27/20,162.76
  6. Step 6: Final answer
    x = 15,936.85

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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.