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Finding the Fourth Proportional to 23,728.97, 35,658.12 and 12,643.58

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Solution

The fourth proportional to 23,728.97, 35,658.12 and 12,643.58 is: 18,999.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,728.97 : 35,658.12 = 12,643.58 : x
  2. Step 2: Convert to fraction form
    23,728.97/35,658.12 = 12,643.58/x
  3. Step 3: Cross multiply
    23,728.97x = 35,658.12 × 12,643.58
  4. Step 4: Simplify right side
    23,728.97x = 450,846,292.87
  5. Step 5: Solve for x
    x = 450,846,292.87/23,728.97
  6. Step 6: Final answer
    x = 18,999.83

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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.