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Finding the Fourth Proportional to 13,157.70, 19,744.34 and 4,843.56

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Solution

The fourth proportional to 13,157.70, 19,744.34 and 4,843.56 is: 7,268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.70 : 19,744.34 = 4,843.56 : x
  2. Step 2: Convert to fraction form
    13,157.70/19,744.34 = 4,843.56/x
  3. Step 3: Cross multiply
    13,157.70x = 19,744.34 × 4,843.56
  4. Step 4: Simplify right side
    13,157.70x = 95,632,871.23
  5. Step 5: Solve for x
    x = 95,632,871.23/13,157.70
  6. Step 6: Final answer
    x = 7,268.21

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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.