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Finding the Fourth Proportional to 12,102.42, 16,702.56 and 6,796.92

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Solution

The fourth proportional to 12,102.42, 16,702.56 and 6,796.92 is: 9,380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.42 : 16,702.56 = 6,796.92 : x
  2. Step 2: Convert to fraction form
    12,102.42/16,702.56 = 6,796.92/x
  3. Step 3: Cross multiply
    12,102.42x = 16,702.56 × 6,796.92
  4. Step 4: Simplify right side
    12,102.42x = 113,525,964.12
  5. Step 5: Solve for x
    x = 113,525,964.12/12,102.42
  6. Step 6: Final answer
    x = 9,380.43

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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.