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Finding the Fourth Proportional to 11,755.29, 17,591.74 and 8,427.20

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Solution

The fourth proportional to 11,755.29, 17,591.74 and 8,427.20 is: 12,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.29 : 17,591.74 = 8,427.20 : x
  2. Step 2: Convert to fraction form
    11,755.29/17,591.74 = 8,427.20/x
  3. Step 3: Cross multiply
    11,755.29x = 17,591.74 × 8,427.20
  4. Step 4: Simplify right side
    11,755.29x = 148,249,134.24
  5. Step 5: Solve for x
    x = 148,249,134.24/11,755.29
  6. Step 6: Final answer
    x = 12,611.27

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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.