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Finding the Fourth Proportional to 12,992.27, 19,474.46 and 6,750.74

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Solution

The fourth proportional to 12,992.27, 19,474.46 and 6,750.74 is: 10,118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.27 : 19,474.46 = 6,750.74 : x
  2. Step 2: Convert to fraction form
    12,992.27/19,474.46 = 6,750.74/x
  3. Step 3: Cross multiply
    12,992.27x = 19,474.46 × 6,750.74
  4. Step 4: Simplify right side
    12,992.27x = 131,467,056.35
  5. Step 5: Solve for x
    x = 131,467,056.35/12,992.27
  6. Step 6: Final answer
    x = 10,118.87

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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.