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Finding the Fourth Proportional to 20,253, 27,950.22 and 11,872.20

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Solution

The fourth proportional to 20,253, 27,950.22 and 11,872.20 is: 16,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,253 : 27,950.22 = 11,872.20 : x
  2. Step 2: Convert to fraction form
    20,253/27,950.22 = 11,872.20/x
  3. Step 3: Cross multiply
    20,253x = 27,950.22 × 11,872.20
  4. Step 4: Simplify right side
    20,253x = 331,830,601.88
  5. Step 5: Solve for x
    x = 331,830,601.88/20,253
  6. Step 6: Final answer
    x = 16,384.27

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