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Finding the Fourth Proportional to 27,676.71, 41,523.37 and 12,894.41

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Solution

The fourth proportional to 27,676.71, 41,523.37 and 12,894.41 is: 19,345.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.71 : 41,523.37 = 12,894.41 : x
  2. Step 2: Convert to fraction form
    27,676.71/41,523.37 = 12,894.41/x
  3. Step 3: Cross multiply
    27,676.71x = 41,523.37 × 12,894.41
  4. Step 4: Simplify right side
    27,676.71x = 535,419,428.93
  5. Step 5: Solve for x
    x = 535,419,428.93/27,676.71
  6. Step 6: Final answer
    x = 19,345.49

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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.