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Finding the Fourth Proportional to 26,949.40, 40,421.00 and 7,226.41

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Solution

The fourth proportional to 26,949.40, 40,421.00 and 7,226.41 is: 10,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,949.40 : 40,421.00 = 7,226.41 : x
  2. Step 2: Convert to fraction form
    26,949.40/40,421.00 = 7,226.41/x
  3. Step 3: Cross multiply
    26,949.40x = 40,421.00 × 7,226.41
  4. Step 4: Simplify right side
    26,949.40x = 292,098,635.62
  5. Step 5: Solve for x
    x = 292,098,635.62/26,949.40
  6. Step 6: Final answer
    x = 10,838.78

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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.