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Finding the Fourth Proportional to 22,741.94, 31,385.94 and 13,791.71

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Solution

The fourth proportional to 22,741.94, 31,385.94 and 13,791.71 is: 19,033.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,741.94 : 31,385.94 = 13,791.71 : x
  2. Step 2: Convert to fraction form
    22,741.94/31,385.94 = 13,791.71/x
  3. Step 3: Cross multiply
    22,741.94x = 31,385.94 × 13,791.71
  4. Step 4: Simplify right side
    22,741.94x = 432,865,782.56
  5. Step 5: Solve for x
    x = 432,865,782.56/22,741.94
  6. Step 6: Final answer
    x = 19,033.81

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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.