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Finding the Fourth Proportional to 20,207.88, 27,887.22 and 12,250.44

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Solution

The fourth proportional to 20,207.88, 27,887.22 and 12,250.44 is: 16,905.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,207.88 : 27,887.22 = 12,250.44 : x
  2. Step 2: Convert to fraction form
    20,207.88/27,887.22 = 12,250.44/x
  3. Step 3: Cross multiply
    20,207.88x = 27,887.22 × 12,250.44
  4. Step 4: Simplify right side
    20,207.88x = 341,630,715.38
  5. Step 5: Solve for x
    x = 341,630,715.38/20,207.88
  6. Step 6: Final answer
    x = 16,905.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.