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Finding the Fourth Proportional to 12,141.78, 16,757.98 and 6,836.60

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Solution

The fourth proportional to 12,141.78, 16,757.98 and 6,836.60 is: 9,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.78 : 16,757.98 = 6,836.60 : x
  2. Step 2: Convert to fraction form
    12,141.78/16,757.98 = 6,836.60/x
  3. Step 3: Cross multiply
    12,141.78x = 16,757.98 × 6,836.60
  4. Step 4: Simplify right side
    12,141.78x = 114,567,606.07
  5. Step 5: Solve for x
    x = 114,567,606.07/12,141.78
  6. Step 6: Final answer
    x = 9,435.82

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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.