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Finding the Fourth Proportional to 23,629.20, 35,443.80 and 9,589.20

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Solution

The fourth proportional to 23,629.20, 35,443.80 and 9,589.20 is: 14,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,629.20 : 35,443.80 = 9,589.20 : x
  2. Step 2: Convert to fraction form
    23,629.20/35,443.80 = 9,589.20/x
  3. Step 3: Cross multiply
    23,629.20x = 35,443.80 × 9,589.20
  4. Step 4: Simplify right side
    23,629.20x = 339,877,686.96
  5. Step 5: Solve for x
    x = 339,877,686.96/23,629.20
  6. Step 6: Final answer
    x = 14,383.80

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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.