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Finding the Fourth Proportional to 18,546.67, 27,838.23 and 13,602.23

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Solution

The fourth proportional to 18,546.67, 27,838.23 and 13,602.23 is: 20,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,546.67 : 27,838.23 = 13,602.23 : x
  2. Step 2: Convert to fraction form
    18,546.67/27,838.23 = 13,602.23/x
  3. Step 3: Cross multiply
    18,546.67x = 27,838.23 × 13,602.23
  4. Step 4: Simplify right side
    18,546.67x = 378,661,800.05
  5. Step 5: Solve for x
    x = 378,661,800.05/18,546.67
  6. Step 6: Final answer
    x = 20,416.71

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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.