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Finding the Fourth Proportional to 26,822.49, 40,237.49 and 8,100.40

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Solution

The fourth proportional to 26,822.49, 40,237.49 and 8,100.40 is: 12,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,822.49 : 40,237.49 = 8,100.40 : x
  2. Step 2: Convert to fraction form
    26,822.49/40,237.49 = 8,100.40/x
  3. Step 3: Cross multiply
    26,822.49x = 40,237.49 × 8,100.40
  4. Step 4: Simplify right side
    26,822.49x = 325,939,764.00
  5. Step 5: Solve for x
    x = 325,939,764.00/26,822.49
  6. Step 6: Final answer
    x = 12,151.73

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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.