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Finding the Fourth Proportional to 23,082.46, 34,623.70 and 17,825.16

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Solution

The fourth proportional to 23,082.46, 34,623.70 and 17,825.16 is: 26,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,082.46 : 34,623.70 = 17,825.16 : x
  2. Step 2: Convert to fraction form
    23,082.46/34,623.70 = 17,825.16/x
  3. Step 3: Cross multiply
    23,082.46x = 34,623.70 × 17,825.16
  4. Step 4: Simplify right side
    23,082.46x = 617,172,992.29
  5. Step 5: Solve for x
    x = 617,172,992.29/23,082.46
  6. Step 6: Final answer
    x = 26,737.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.