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Finding the Fourth Proportional to 26,782.88, 40,176.17 and 11,200.50

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Solution

The fourth proportional to 26,782.88, 40,176.17 and 11,200.50 is: 16,801.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,782.88 : 40,176.17 = 11,200.50 : x
  2. Step 2: Convert to fraction form
    26,782.88/40,176.17 = 11,200.50/x
  3. Step 3: Cross multiply
    26,782.88x = 40,176.17 × 11,200.50
  4. Step 4: Simplify right side
    26,782.88x = 449,993,178.08
  5. Step 5: Solve for x
    x = 449,993,178.08/26,782.88
  6. Step 6: Final answer
    x = 16,801.53

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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.