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Finding the Fourth Proportional to 21,082.08, 31,627.92 and 7,230.24

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Solution

The fourth proportional to 21,082.08, 31,627.92 and 7,230.24 is: 10,847.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,082.08 : 31,627.92 = 7,230.24 : x
  2. Step 2: Convert to fraction form
    21,082.08/31,627.92 = 7,230.24/x
  3. Step 3: Cross multiply
    21,082.08x = 31,627.92 × 7,230.24
  4. Step 4: Simplify right side
    21,082.08x = 228,677,452.30
  5. Step 5: Solve for x
    x = 228,677,452.30/21,082.08
  6. Step 6: Final answer
    x = 10,847.01

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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.