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Finding the Fourth Proportional to 12,986.12, 17,915.94 and 7,394.12

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Solution

The fourth proportional to 12,986.12, 17,915.94 and 7,394.12 is: 10,201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.12 : 17,915.94 = 7,394.12 : x
  2. Step 2: Convert to fraction form
    12,986.12/17,915.94 = 7,394.12/x
  3. Step 3: Cross multiply
    12,986.12x = 17,915.94 × 7,394.12
  4. Step 4: Simplify right side
    12,986.12x = 132,472,610.27
  5. Step 5: Solve for x
    x = 132,472,610.27/12,986.12
  6. Step 6: Final answer
    x = 10,201.09

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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.