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Finding the Fourth Proportional to 23,725.84, 35,589.84 and 7,932.28

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Solution

The fourth proportional to 23,725.84, 35,589.84 and 7,932.28 is: 11,898.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,725.84 : 35,589.84 = 7,932.28 : x
  2. Step 2: Convert to fraction form
    23,725.84/35,589.84 = 7,932.28/x
  3. Step 3: Cross multiply
    23,725.84x = 35,589.84 × 7,932.28
  4. Step 4: Simplify right side
    23,725.84x = 282,308,576.04
  5. Step 5: Solve for x
    x = 282,308,576.04/23,725.84
  6. Step 6: Final answer
    x = 11,898.78

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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.