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Finding the Fourth Proportional to 14,082.75, 21,131.42 and 7,157.25

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Solution

The fourth proportional to 14,082.75, 21,131.42 and 7,157.25 is: 10,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.75 : 21,131.42 = 7,157.25 : x
  2. Step 2: Convert to fraction form
    14,082.75/21,131.42 = 7,157.25/x
  3. Step 3: Cross multiply
    14,082.75x = 21,131.42 × 7,157.25
  4. Step 4: Simplify right side
    14,082.75x = 151,242,820.01
  5. Step 5: Solve for x
    x = 151,242,820.01/14,082.75
  6. Step 6: Final answer
    x = 10,739.58

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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.