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Finding the Fourth Proportional to 13,082.82, 18,054.39 and 7,114.43

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Solution

The fourth proportional to 13,082.82, 18,054.39 and 7,114.43 is: 9,817.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.82 : 18,054.39 = 7,114.43 : x
  2. Step 2: Convert to fraction form
    13,082.82/18,054.39 = 7,114.43/x
  3. Step 3: Cross multiply
    13,082.82x = 18,054.39 × 7,114.43
  4. Step 4: Simplify right side
    13,082.82x = 128,446,765.66
  5. Step 5: Solve for x
    x = 128,446,765.66/13,082.82
  6. Step 6: Final answer
    x = 9,817.98

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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.