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Finding the Fourth Proportional to 23,939.10, 35,923.01 and 9,149.18

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Solution

The fourth proportional to 23,939.10, 35,923.01 and 9,149.18 is: 13,729.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,939.10 : 35,923.01 = 9,149.18 : x
  2. Step 2: Convert to fraction form
    23,939.10/35,923.01 = 9,149.18/x
  3. Step 3: Cross multiply
    23,939.10x = 35,923.01 × 9,149.18
  4. Step 4: Simplify right side
    23,939.10x = 328,665,859.27
  5. Step 5: Solve for x
    x = 328,665,859.27/23,939.10
  6. Step 6: Final answer
    x = 13,729.25

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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.