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Finding the Fourth Proportional to 20,082.89, 30,113.19 and 9,000.20

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Solution

The fourth proportional to 20,082.89, 30,113.19 and 9,000.20 is: 13,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.89 : 30,113.19 = 9,000.20 : x
  2. Step 2: Convert to fraction form
    20,082.89/30,113.19 = 9,000.20/x
  3. Step 3: Cross multiply
    20,082.89x = 30,113.19 × 9,000.20
  4. Step 4: Simplify right side
    20,082.89x = 271,024,582.07
  5. Step 5: Solve for x
    x = 271,024,582.07/20,082.89
  6. Step 6: Final answer
    x = 13,495.30

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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.