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Finding the Fourth Proportional to 13,057.44, 19,586 and 4,292.24

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Solution

The fourth proportional to 13,057.44, 19,586 and 4,292.24 is: 6,438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.44 : 19,586 = 4,292.24 : x
  2. Step 2: Convert to fraction form
    13,057.44/19,586 = 4,292.24/x
  3. Step 3: Cross multiply
    13,057.44x = 19,586 × 4,292.24
  4. Step 4: Simplify right side
    13,057.44x = 84,067,812.64
  5. Step 5: Solve for x
    x = 84,067,812.64/13,057.44
  6. Step 6: Final answer
    x = 6,438.31

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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.