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Finding the Fourth Proportional to 14,914.46, 20,581.97 and 8,200.20

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Solution

The fourth proportional to 14,914.46, 20,581.97 and 8,200.20 is: 11,316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.46 : 20,581.97 = 8,200.20 : x
  2. Step 2: Convert to fraction form
    14,914.46/20,581.97 = 8,200.20/x
  3. Step 3: Cross multiply
    14,914.46x = 20,581.97 × 8,200.20
  4. Step 4: Simplify right side
    14,914.46x = 168,776,270.39
  5. Step 5: Solve for x
    x = 168,776,270.39/14,914.46
  6. Step 6: Final answer
    x = 11,316.28

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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.