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Finding the Fourth Proportional to 20,950.38, 31,412.43 and 7,791.93

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Solution

The fourth proportional to 20,950.38, 31,412.43 and 7,791.93 is: 11,683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,950.38 : 31,412.43 = 7,791.93 : x
  2. Step 2: Convert to fraction form
    20,950.38/31,412.43 = 7,791.93/x
  3. Step 3: Cross multiply
    20,950.38x = 31,412.43 × 7,791.93
  4. Step 4: Simplify right side
    20,950.38x = 244,763,455.69
  5. Step 5: Solve for x
    x = 244,763,455.69/20,950.38
  6. Step 6: Final answer
    x = 11,683.01

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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.