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Finding the Fourth Proportional to 23,924.33, 35,891.87 and 7,285.68

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Solution

The fourth proportional to 23,924.33, 35,891.87 and 7,285.68 is: 10,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,924.33 : 35,891.87 = 7,285.68 : x
  2. Step 2: Convert to fraction form
    23,924.33/35,891.87 = 7,285.68/x
  3. Step 3: Cross multiply
    23,924.33x = 35,891.87 × 7,285.68
  4. Step 4: Simplify right side
    23,924.33x = 261,496,697.64
  5. Step 5: Solve for x
    x = 261,496,697.64/23,924.33
  6. Step 6: Final answer
    x = 10,930.16

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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.