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Finding the Fourth Proportional to 17,082.70, 23,574.10 and 9,529.04

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Solution

The fourth proportional to 17,082.70, 23,574.10 and 9,529.04 is: 13,150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.70 : 23,574.10 = 9,529.04 : x
  2. Step 2: Convert to fraction form
    17,082.70/23,574.10 = 9,529.04/x
  3. Step 3: Cross multiply
    17,082.70x = 23,574.10 × 9,529.04
  4. Step 4: Simplify right side
    17,082.70x = 224,638,541.86
  5. Step 5: Solve for x
    x = 224,638,541.86/17,082.70
  6. Step 6: Final answer
    x = 13,150.06

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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.