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Finding the Fourth Proportional to 27,494.56, 41,246.97 and 12,502.78

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Solution

The fourth proportional to 27,494.56, 41,246.97 and 12,502.78 is: 18,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,494.56 : 41,246.97 = 12,502.78 : x
  2. Step 2: Convert to fraction form
    27,494.56/41,246.97 = 12,502.78/x
  3. Step 3: Cross multiply
    27,494.56x = 41,246.97 × 12,502.78
  4. Step 4: Simplify right side
    27,494.56x = 515,701,791.58
  5. Step 5: Solve for x
    x = 515,701,791.58/27,494.56
  6. Step 6: Final answer
    x = 18,756.50

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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.