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Finding the Fourth Proportional to 12,378.66, 17,082.26 and 7,073.14

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Solution

The fourth proportional to 12,378.66, 17,082.26 and 7,073.14 is: 9,760.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.66 : 17,082.26 = 7,073.14 : x
  2. Step 2: Convert to fraction form
    12,378.66/17,082.26 = 7,073.14/x
  3. Step 3: Cross multiply
    12,378.66x = 17,082.26 × 7,073.14
  4. Step 4: Simplify right side
    12,378.66x = 120,825,181.13
  5. Step 5: Solve for x
    x = 120,825,181.13/12,378.66
  6. Step 6: Final answer
    x = 9,760.76

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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.