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Finding the Fourth Proportional to 13,882.56, 19,157.96 and 7,594.96

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Solution

The fourth proportional to 13,882.56, 19,157.96 and 7,594.96 is: 10,481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.56 : 19,157.96 = 7,594.96 : x
  2. Step 2: Convert to fraction form
    13,882.56/19,157.96 = 7,594.96/x
  3. Step 3: Cross multiply
    13,882.56x = 19,157.96 × 7,594.96
  4. Step 4: Simplify right side
    13,882.56x = 145,503,939.88
  5. Step 5: Solve for x
    x = 145,503,939.88/13,882.56
  6. Step 6: Final answer
    x = 10,481.06

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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.