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Finding the Fourth Proportional to 27,668.39, 38,194.74 and 18,743.00

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Solution

The fourth proportional to 27,668.39, 38,194.74 and 18,743.00 is: 25,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,668.39 : 38,194.74 = 18,743.00 : x
  2. Step 2: Convert to fraction form
    27,668.39/38,194.74 = 18,743.00/x
  3. Step 3: Cross multiply
    27,668.39x = 38,194.74 × 18,743.00
  4. Step 4: Simplify right side
    27,668.39x = 715,883,820.85
  5. Step 5: Solve for x
    x = 715,883,820.85/27,668.39
  6. Step 6: Final answer
    x = 25,873.71

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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.