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Finding the Fourth Proportional to 18,496.80, 27,727.20 and 10,591.20

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Solution

The fourth proportional to 18,496.80, 27,727.20 and 10,591.20 is: 15,876.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496.80 : 27,727.20 = 10,591.20 : x
  2. Step 2: Convert to fraction form
    18,496.80/27,727.20 = 10,591.20/x
  3. Step 3: Cross multiply
    18,496.80x = 27,727.20 × 10,591.20
  4. Step 4: Simplify right side
    18,496.80x = 293,664,320.64
  5. Step 5: Solve for x
    x = 293,664,320.64/18,496.80
  6. Step 6: Final answer
    x = 15,876.49

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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.