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Finding the Fourth Proportional to 18,494.80, 27,724.20 and 10,589.20

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Solution

The fourth proportional to 18,494.80, 27,724.20 and 10,589.20 is: 15,873.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,494.80 : 27,724.20 = 10,589.20 : x
  2. Step 2: Convert to fraction form
    18,494.80/27,724.20 = 10,589.20/x
  3. Step 3: Cross multiply
    18,494.80x = 27,724.20 × 10,589.20
  4. Step 4: Simplify right side
    18,494.80x = 293,577,098.64
  5. Step 5: Solve for x
    x = 293,577,098.64/18,494.80
  6. Step 6: Final answer
    x = 15,873.49

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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.