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Finding the Fourth Proportional to 20,182, 27,852.06 and 16,819.20

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Solution

The fourth proportional to 20,182, 27,852.06 and 16,819.20 is: 23,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182 : 27,852.06 = 16,819.20 : x
  2. Step 2: Convert to fraction form
    20,182/27,852.06 = 16,819.20/x
  3. Step 3: Cross multiply
    20,182x = 27,852.06 × 16,819.20
  4. Step 4: Simplify right side
    20,182x = 468,449,367.55
  5. Step 5: Solve for x
    x = 468,449,367.55/20,182
  6. Step 6: Final answer
    x = 23,211.25

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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.