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Finding the Fourth Proportional to 13,057.29, 19,589.18 and 3,823.29

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Solution

The fourth proportional to 13,057.29, 19,589.18 and 3,823.29 is: 5,735.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.29 : 19,589.18 = 3,823.29 : x
  2. Step 2: Convert to fraction form
    13,057.29/19,589.18 = 3,823.29/x
  3. Step 3: Cross multiply
    13,057.29x = 19,589.18 × 3,823.29
  4. Step 4: Simplify right side
    13,057.29x = 74,895,096.89
  5. Step 5: Solve for x
    x = 74,895,096.89/13,057.29
  6. Step 6: Final answer
    x = 5,735.88

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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.