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Finding the Fourth Proportional to 12,380.68, 17,082.40 and 7,003.24

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Solution

The fourth proportional to 12,380.68, 17,082.40 and 7,003.24 is: 9,662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.68 : 17,082.40 = 7,003.24 : x
  2. Step 2: Convert to fraction form
    12,380.68/17,082.40 = 7,003.24/x
  3. Step 3: Cross multiply
    12,380.68x = 17,082.40 × 7,003.24
  4. Step 4: Simplify right side
    12,380.68x = 119,632,146.98
  5. Step 5: Solve for x
    x = 119,632,146.98/12,380.68
  6. Step 6: Final answer
    x = 9,662.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.