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Finding the Fourth Proportional to 27,996.59, 41,981.22 and 12,214.96

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Solution

The fourth proportional to 27,996.59, 41,981.22 and 12,214.96 is: 18,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,996.59 : 41,981.22 = 12,214.96 : x
  2. Step 2: Convert to fraction form
    27,996.59/41,981.22 = 12,214.96/x
  3. Step 3: Cross multiply
    27,996.59x = 41,981.22 × 12,214.96
  4. Step 4: Simplify right side
    27,996.59x = 512,798,923.05
  5. Step 5: Solve for x
    x = 512,798,923.05/27,996.59
  6. Step 6: Final answer
    x = 18,316.48

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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.