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Finding the Fourth Proportional to 27,693.87, 41,506.25 and 13,846.83

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Solution

The fourth proportional to 27,693.87, 41,506.25 and 13,846.83 is: 20,752.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,693.87 : 41,506.25 = 13,846.83 : x
  2. Step 2: Convert to fraction form
    27,693.87/41,506.25 = 13,846.83/x
  3. Step 3: Cross multiply
    27,693.87x = 41,506.25 × 13,846.83
  4. Step 4: Simplify right side
    27,693.87x = 574,729,918.45
  5. Step 5: Solve for x
    x = 574,729,918.45/27,693.87
  6. Step 6: Final answer
    x = 20,752.97

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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.