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Finding the Fourth Proportional to 20,242.74, 27,932.04 and 11,627.76

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Solution

The fourth proportional to 20,242.74, 27,932.04 and 11,627.76 is: 16,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242.74 : 27,932.04 = 11,627.76 : x
  2. Step 2: Convert to fraction form
    20,242.74/27,932.04 = 11,627.76/x
  3. Step 3: Cross multiply
    20,242.74x = 27,932.04 × 11,627.76
  4. Step 4: Simplify right side
    20,242.74x = 324,787,057.43
  5. Step 5: Solve for x
    x = 324,787,057.43/20,242.74
  6. Step 6: Final answer
    x = 16,044.62

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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.