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Finding the Fourth Proportional to 20,791.67, 31,195.25 and 12,477.65

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Solution

The fourth proportional to 20,791.67, 31,195.25 and 12,477.65 is: 18,721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,791.67 : 31,195.25 = 12,477.65 : x
  2. Step 2: Convert to fraction form
    20,791.67/31,195.25 = 12,477.65/x
  3. Step 3: Cross multiply
    20,791.67x = 31,195.25 × 12,477.65
  4. Step 4: Simplify right side
    20,791.67x = 389,243,348.77
  5. Step 5: Solve for x
    x = 389,243,348.77/20,791.67
  6. Step 6: Final answer
    x = 18,721.12

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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.