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Finding the Fourth Proportional to 23,309.38, 34,950.24 and 9,261.86

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Solution

The fourth proportional to 23,309.38, 34,950.24 and 9,261.86 is: 13,887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309.38 : 34,950.24 = 9,261.86 : x
  2. Step 2: Convert to fraction form
    23,309.38/34,950.24 = 9,261.86/x
  3. Step 3: Cross multiply
    23,309.38x = 34,950.24 × 9,261.86
  4. Step 4: Simplify right side
    23,309.38x = 323,704,229.85
  5. Step 5: Solve for x
    x = 323,704,229.85/23,309.38
  6. Step 6: Final answer
    x = 13,887.29

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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.