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Finding the Fourth Proportional to 27,414.63, 37,819.80 and 16,084.80

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Solution

The fourth proportional to 27,414.63, 37,819.80 and 16,084.80 is: 22,189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,414.63 : 37,819.80 = 16,084.80 : x
  2. Step 2: Convert to fraction form
    27,414.63/37,819.80 = 16,084.80/x
  3. Step 3: Cross multiply
    27,414.63x = 37,819.80 × 16,084.80
  4. Step 4: Simplify right side
    27,414.63x = 608,323,919.04
  5. Step 5: Solve for x
    x = 608,323,919.04/27,414.63
  6. Step 6: Final answer
    x = 22,189.75

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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.