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Finding the Fourth Proportional to 12,101.61, 16,701.78 and 6,796.42

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Solution

The fourth proportional to 12,101.61, 16,701.78 and 6,796.42 is: 9,379.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.61 : 16,701.78 = 6,796.42 : x
  2. Step 2: Convert to fraction form
    12,101.61/16,701.78 = 6,796.42/x
  3. Step 3: Cross multiply
    12,101.61x = 16,701.78 × 6,796.42
  4. Step 4: Simplify right side
    12,101.61x = 113,512,405.83
  5. Step 5: Solve for x
    x = 113,512,405.83/12,101.61
  6. Step 6: Final answer
    x = 9,379.94

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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.