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Finding the Fourth Proportional to 12,077.56, 18,116.20 and 7,943.68

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Solution

The fourth proportional to 12,077.56, 18,116.20 and 7,943.68 is: 11,915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.56 : 18,116.20 = 7,943.68 : x
  2. Step 2: Convert to fraction form
    12,077.56/18,116.20 = 7,943.68/x
  3. Step 3: Cross multiply
    12,077.56x = 18,116.20 × 7,943.68
  4. Step 4: Simplify right side
    12,077.56x = 143,909,295.62
  5. Step 5: Solve for x
    x = 143,909,295.62/12,077.56
  6. Step 6: Final answer
    x = 11,915.43

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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.