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Finding the Fourth Proportional to 26,794.92, 40,192.68 and 12,756.24

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Solution

The fourth proportional to 26,794.92, 40,192.68 and 12,756.24 is: 19,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,794.92 : 40,192.68 = 12,756.24 : x
  2. Step 2: Convert to fraction form
    26,794.92/40,192.68 = 12,756.24/x
  3. Step 3: Cross multiply
    26,794.92x = 40,192.68 × 12,756.24
  4. Step 4: Simplify right side
    26,794.92x = 512,707,472.32
  5. Step 5: Solve for x
    x = 512,707,472.32/26,794.92
  6. Step 6: Final answer
    x = 19,134.50

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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.