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Finding the Fourth Proportional to 16,288.25, 24,394.10 and 7,942.12

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Solution

The fourth proportional to 16,288.25, 24,394.10 and 7,942.12 is: 11,894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.25 : 24,394.10 = 7,942.12 : x
  2. Step 2: Convert to fraction form
    16,288.25/24,394.10 = 7,942.12/x
  3. Step 3: Cross multiply
    16,288.25x = 24,394.10 × 7,942.12
  4. Step 4: Simplify right side
    16,288.25x = 193,740,768.80
  5. Step 5: Solve for x
    x = 193,740,768.80/16,288.25
  6. Step 6: Final answer
    x = 11,894.51

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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.