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Finding the Fourth Proportional to 26,491.92, 39,727.92 and 7,768.08

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Solution

The fourth proportional to 26,491.92, 39,727.92 and 7,768.08 is: 11,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,491.92 : 39,727.92 = 7,768.08 : x
  2. Step 2: Convert to fraction form
    26,491.92/39,727.92 = 7,768.08/x
  3. Step 3: Cross multiply
    26,491.92x = 39,727.92 × 7,768.08
  4. Step 4: Simplify right side
    26,491.92x = 308,609,660.79
  5. Step 5: Solve for x
    x = 308,609,660.79/26,491.92
  6. Step 6: Final answer
    x = 11,649.20

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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.