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Finding the Fourth Proportional to 12,198.90, 16,835.34 and 6,893.76

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Solution

The fourth proportional to 12,198.90, 16,835.34 and 6,893.76 is: 9,513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.90 : 16,835.34 = 6,893.76 : x
  2. Step 2: Convert to fraction form
    12,198.90/16,835.34 = 6,893.76/x
  3. Step 3: Cross multiply
    12,198.90x = 16,835.34 × 6,893.76
  4. Step 4: Simplify right side
    12,198.90x = 116,058,787.76
  5. Step 5: Solve for x
    x = 116,058,787.76/12,198.90
  6. Step 6: Final answer
    x = 9,513.87

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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.