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Finding the Fourth Proportional to 23,082.56, 34,632.08 and 7,500.24

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Solution

The fourth proportional to 23,082.56, 34,632.08 and 7,500.24 is: 11,253.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,082.56 : 34,632.08 = 7,500.24 : x
  2. Step 2: Convert to fraction form
    23,082.56/34,632.08 = 7,500.24/x
  3. Step 3: Cross multiply
    23,082.56x = 34,632.08 × 7,500.24
  4. Step 4: Simplify right side
    23,082.56x = 259,748,911.70
  5. Step 5: Solve for x
    x = 259,748,911.70/23,082.56
  6. Step 6: Final answer
    x = 11,253.04

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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.