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Finding the Fourth Proportional to 23,921.32, 35,883.82 and 7,282.78

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Solution

The fourth proportional to 23,921.32, 35,883.82 and 7,282.78 is: 10,924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,921.32 : 35,883.82 = 7,282.78 : x
  2. Step 2: Convert to fraction form
    23,921.32/35,883.82 = 7,282.78/x
  3. Step 3: Cross multiply
    23,921.32x = 35,883.82 × 7,282.78
  4. Step 4: Simplify right side
    23,921.32x = 261,333,966.62
  5. Step 5: Solve for x
    x = 261,333,966.62/23,921.32
  6. Step 6: Final answer
    x = 10,924.73

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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.