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Finding the Fourth Proportional to 13,057.92, 19,589.31 and 4,293.18

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Solution

The fourth proportional to 13,057.92, 19,589.31 and 4,293.18 is: 6,440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.92 : 19,589.31 = 4,293.18 : x
  2. Step 2: Convert to fraction form
    13,057.92/19,589.31 = 4,293.18/x
  3. Step 3: Cross multiply
    13,057.92x = 19,589.31 × 4,293.18
  4. Step 4: Simplify right side
    13,057.92x = 84,100,433.91
  5. Step 5: Solve for x
    x = 84,100,433.91/13,057.92
  6. Step 6: Final answer
    x = 6,440.57

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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.