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Finding the Fourth Proportional to 20,199, 27,873.78 and 11,246.88

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Solution

The fourth proportional to 20,199, 27,873.78 and 11,246.88 is: 15,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199 : 27,873.78 = 11,246.88 : x
  2. Step 2: Convert to fraction form
    20,199/27,873.78 = 11,246.88/x
  3. Step 3: Cross multiply
    20,199x = 27,873.78 × 11,246.88
  4. Step 4: Simplify right side
    20,199x = 313,493,058.81
  5. Step 5: Solve for x
    x = 313,493,058.81/20,199
  6. Step 6: Final answer
    x = 15,520.23

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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.