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Finding the Fourth Proportional to 13,082.28, 18,053.17 and 7,417.56

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Solution

The fourth proportional to 13,082.28, 18,053.17 and 7,417.56 is: 10,236.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.28 : 18,053.17 = 7,417.56 : x
  2. Step 2: Convert to fraction form
    13,082.28/18,053.17 = 7,417.56/x
  3. Step 3: Cross multiply
    13,082.28x = 18,053.17 × 7,417.56
  4. Step 4: Simplify right side
    13,082.28x = 133,910,471.67
  5. Step 5: Solve for x
    x = 133,910,471.67/13,082.28
  6. Step 6: Final answer
    x = 10,236.02

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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.