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Finding the Fourth Proportional to 23,658.38, 35,493.09 and 7,862.27

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Solution

The fourth proportional to 23,658.38, 35,493.09 and 7,862.27 is: 11,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.38 : 35,493.09 = 7,862.27 : x
  2. Step 2: Convert to fraction form
    23,658.38/35,493.09 = 7,862.27/x
  3. Step 3: Cross multiply
    23,658.38x = 35,493.09 × 7,862.27
  4. Step 4: Simplify right side
    23,658.38x = 279,056,049.77
  5. Step 5: Solve for x
    x = 279,056,049.77/23,658.38
  6. Step 6: Final answer
    x = 11,795.23

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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.