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Finding the Fourth Proportional to 23,939.13, 35,907.32 and 9,149.54

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Solution

The fourth proportional to 23,939.13, 35,907.32 and 9,149.54 is: 13,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,939.13 : 35,907.32 = 9,149.54 : x
  2. Step 2: Convert to fraction form
    23,939.13/35,907.32 = 9,149.54/x
  3. Step 3: Cross multiply
    23,939.13x = 35,907.32 × 9,149.54
  4. Step 4: Simplify right side
    23,939.13x = 328,535,235.35
  5. Step 5: Solve for x
    x = 328,535,235.35/23,939.13
  6. Step 6: Final answer
    x = 13,723.78

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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.