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Finding the Fourth Proportional to 19,846.92, 27,380.94 and 12,777.45

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Solution

The fourth proportional to 19,846.92, 27,380.94 and 12,777.45 is: 17,627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,846.92 : 27,380.94 = 12,777.45 : x
  2. Step 2: Convert to fraction form
    19,846.92/27,380.94 = 12,777.45/x
  3. Step 3: Cross multiply
    19,846.92x = 27,380.94 × 12,777.45
  4. Step 4: Simplify right side
    19,846.92x = 349,858,441.21
  5. Step 5: Solve for x
    x = 349,858,441.21/19,846.92
  6. Step 6: Final answer
    x = 17,627.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.