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Finding the Fourth Proportional to 12,082.98, 16,677.48 and 7,371.20

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Solution

The fourth proportional to 12,082.98, 16,677.48 and 7,371.20 is: 10,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.98 : 16,677.48 = 7,371.20 : x
  2. Step 2: Convert to fraction form
    12,082.98/16,677.48 = 7,371.20/x
  3. Step 3: Cross multiply
    12,082.98x = 16,677.48 × 7,371.20
  4. Step 4: Simplify right side
    12,082.98x = 122,933,040.58
  5. Step 5: Solve for x
    x = 122,933,040.58/12,082.98
  6. Step 6: Final answer
    x = 10,174.07

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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.