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Finding the Fourth Proportional to 13,082.70, 18,053.75 and 7,417.97

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Solution

The fourth proportional to 13,082.70, 18,053.75 and 7,417.97 is: 10,236.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.70 : 18,053.75 = 7,417.97 : x
  2. Step 2: Convert to fraction form
    13,082.70/18,053.75 = 7,417.97/x
  3. Step 3: Cross multiply
    13,082.70x = 18,053.75 × 7,417.97
  4. Step 4: Simplify right side
    13,082.70x = 133,922,183.93
  5. Step 5: Solve for x
    x = 133,922,183.93/13,082.70
  6. Step 6: Final answer
    x = 10,236.59

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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.