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Finding the Fourth Proportional to 22,380.94, 30,878.31 and 12,942.82

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Solution

The fourth proportional to 22,380.94, 30,878.31 and 12,942.82 is: 17,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,380.94 : 30,878.31 = 12,942.82 : x
  2. Step 2: Convert to fraction form
    22,380.94/30,878.31 = 12,942.82/x
  3. Step 3: Cross multiply
    22,380.94x = 30,878.31 × 12,942.82
  4. Step 4: Simplify right side
    22,380.94x = 399,652,408.23
  5. Step 5: Solve for x
    x = 399,652,408.23/22,380.94
  6. Step 6: Final answer
    x = 17,856.82

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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.