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Finding the Fourth Proportional to 23,082.57, 34,627.19 and 7,282.23

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Solution

The fourth proportional to 23,082.57, 34,627.19 and 7,282.23 is: 10,924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,082.57 : 34,627.19 = 7,282.23 : x
  2. Step 2: Convert to fraction form
    23,082.57/34,627.19 = 7,282.23/x
  3. Step 3: Cross multiply
    23,082.57x = 34,627.19 × 7,282.23
  4. Step 4: Simplify right side
    23,082.57x = 252,163,125.42
  5. Step 5: Solve for x
    x = 252,163,125.42/23,082.57
  6. Step 6: Final answer
    x = 10,924.40

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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.