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Finding the Fourth Proportional to 17,082.57, 23,574.15 and 9,529.56

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Solution

The fourth proportional to 17,082.57, 23,574.15 and 9,529.56 is: 13,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.57 : 23,574.15 = 9,529.56 : x
  2. Step 2: Convert to fraction form
    17,082.57/23,574.15 = 9,529.56/x
  3. Step 3: Cross multiply
    17,082.57x = 23,574.15 × 9,529.56
  4. Step 4: Simplify right side
    17,082.57x = 224,651,276.87
  5. Step 5: Solve for x
    x = 224,651,276.87/17,082.57
  6. Step 6: Final answer
    x = 13,150.91

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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.