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Finding the Fourth Proportional to 27,796.40, 41,694.60 and 13,942.16

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Solution

The fourth proportional to 27,796.40, 41,694.60 and 13,942.16 is: 20,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,796.40 : 41,694.60 = 13,942.16 : x
  2. Step 2: Convert to fraction form
    27,796.40/41,694.60 = 13,942.16/x
  3. Step 3: Cross multiply
    27,796.40x = 41,694.60 × 13,942.16
  4. Step 4: Simplify right side
    27,796.40x = 581,312,784.34
  5. Step 5: Solve for x
    x = 581,312,784.34/27,796.40
  6. Step 6: Final answer
    x = 20,913.24

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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.