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Finding the Fourth Proportional to 26,564.25, 39,846.39 and 8,096.25

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Solution

The fourth proportional to 26,564.25, 39,846.39 and 8,096.25 is: 12,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,564.25 : 39,846.39 = 8,096.25 : x
  2. Step 2: Convert to fraction form
    26,564.25/39,846.39 = 8,096.25/x
  3. Step 3: Cross multiply
    26,564.25x = 39,846.39 × 8,096.25
  4. Step 4: Simplify right side
    26,564.25x = 322,606,335.04
  5. Step 5: Solve for x
    x = 322,606,335.04/26,564.25
  6. Step 6: Final answer
    x = 12,144.38

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Similar ratio
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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.