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Finding the Fourth Proportional to 11,969.31, 17,946.45 and 8,685.15

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Solution

The fourth proportional to 11,969.31, 17,946.45 and 8,685.15 is: 13,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.31 : 17,946.45 = 8,685.15 : x
  2. Step 2: Convert to fraction form
    11,969.31/17,946.45 = 8,685.15/x
  3. Step 3: Cross multiply
    11,969.31x = 17,946.45 × 8,685.15
  4. Step 4: Simplify right side
    11,969.31x = 155,867,610.22
  5. Step 5: Solve for x
    x = 155,867,610.22/11,969.31
  6. Step 6: Final answer
    x = 13,022.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.