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Finding the Fourth Proportional to 18,164.23, 25,067 and 10,206.99

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Solution

The fourth proportional to 18,164.23, 25,067 and 10,206.99 is: 14,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,164.23 : 25,067 = 10,206.99 : x
  2. Step 2: Convert to fraction form
    18,164.23/25,067 = 10,206.99/x
  3. Step 3: Cross multiply
    18,164.23x = 25,067 × 10,206.99
  4. Step 4: Simplify right side
    18,164.23x = 255,858,618.33
  5. Step 5: Solve for x
    x = 255,858,618.33/18,164.23
  6. Step 6: Final answer
    x = 14,085.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.