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Finding the Fourth Proportional to 23,922.33, 35,885.31 and 7,283.79

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Solution

The fourth proportional to 23,922.33, 35,885.31 and 7,283.79 is: 10,926.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,922.33 : 35,885.31 = 7,283.79 : x
  2. Step 2: Convert to fraction form
    23,922.33/35,885.31 = 7,283.79/x
  3. Step 3: Cross multiply
    23,922.33x = 35,885.31 × 7,283.79
  4. Step 4: Simplify right side
    23,922.33x = 261,381,062.12
  5. Step 5: Solve for x
    x = 261,381,062.12/23,922.33
  6. Step 6: Final answer
    x = 10,926.24

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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.