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Finding the Fourth Proportional to 20,757.42, 31,133.82 and 7,429.89

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Solution

The fourth proportional to 20,757.42, 31,133.82 and 7,429.89 is: 11,144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,757.42 : 31,133.82 = 7,429.89 : x
  2. Step 2: Convert to fraction form
    20,757.42/31,133.82 = 7,429.89/x
  3. Step 3: Cross multiply
    20,757.42x = 31,133.82 × 7,429.89
  4. Step 4: Simplify right side
    20,757.42x = 231,320,857.88
  5. Step 5: Solve for x
    x = 231,320,857.88/20,757.42
  6. Step 6: Final answer
    x = 11,144.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.