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Finding the Fourth Proportional to 26,834.54, 40,262.40 and 10,198.98

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Solution

The fourth proportional to 26,834.54, 40,262.40 and 10,198.98 is: 15,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,834.54 : 40,262.40 = 10,198.98 : x
  2. Step 2: Convert to fraction form
    26,834.54/40,262.40 = 10,198.98/x
  3. Step 3: Cross multiply
    26,834.54x = 40,262.40 × 10,198.98
  4. Step 4: Simplify right side
    26,834.54x = 410,635,412.35
  5. Step 5: Solve for x
    x = 410,635,412.35/26,834.54
  6. Step 6: Final answer
    x = 15,302.50

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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.