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Finding the Fourth Proportional to 18,202.56, 27,267.12 and 13,282.56

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Solution

The fourth proportional to 18,202.56, 27,267.12 and 13,282.56 is: 19,897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,202.56 : 27,267.12 = 13,282.56 : x
  2. Step 2: Convert to fraction form
    18,202.56/27,267.12 = 13,282.56/x
  3. Step 3: Cross multiply
    18,202.56x = 27,267.12 × 13,282.56
  4. Step 4: Simplify right side
    18,202.56x = 362,177,157.43
  5. Step 5: Solve for x
    x = 362,177,157.43/18,202.56
  6. Step 6: Final answer
    x = 19,897.05

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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.