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Finding the Fourth Proportional to 18,072.20, 27,116.40 and 8,206.40

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Solution

The fourth proportional to 18,072.20, 27,116.40 and 8,206.40 is: 12,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,072.20 : 27,116.40 = 8,206.40 : x
  2. Step 2: Convert to fraction form
    18,072.20/27,116.40 = 8,206.40/x
  3. Step 3: Cross multiply
    18,072.20x = 27,116.40 × 8,206.40
  4. Step 4: Simplify right side
    18,072.20x = 222,528,024.96
  5. Step 5: Solve for x
    x = 222,528,024.96/18,072.20
  6. Step 6: Final answer
    x = 12,313.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.