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Finding the Fourth Proportional to 22,791.38, 34,190.71 and 9,643.86

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Solution

The fourth proportional to 22,791.38, 34,190.71 and 9,643.86 is: 14,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,791.38 : 34,190.71 = 9,643.86 : x
  2. Step 2: Convert to fraction form
    22,791.38/34,190.71 = 9,643.86/x
  3. Step 3: Cross multiply
    22,791.38x = 34,190.71 × 9,643.86
  4. Step 4: Simplify right side
    22,791.38x = 329,730,420.54
  5. Step 5: Solve for x
    x = 329,730,420.54/22,791.38
  6. Step 6: Final answer
    x = 14,467.33

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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.