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Finding the Fourth Proportional to 20,080.76, 30,082.26 and 9,699.80

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Solution

The fourth proportional to 20,080.76, 30,082.26 and 9,699.80 is: 14,530.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,080.76 : 30,082.26 = 9,699.80 : x
  2. Step 2: Convert to fraction form
    20,080.76/30,082.26 = 9,699.80/x
  3. Step 3: Cross multiply
    20,080.76x = 30,082.26 × 9,699.80
  4. Step 4: Simplify right side
    20,080.76x = 291,791,905.55
  5. Step 5: Solve for x
    x = 291,791,905.55/20,080.76
  6. Step 6: Final answer
    x = 14,530.92

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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.