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Finding the Fourth Proportional to 20,099.64, 30,137.94 and 7,773.24

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Solution

The fourth proportional to 20,099.64, 30,137.94 and 7,773.24 is: 11,655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,099.64 : 30,137.94 = 7,773.24 : x
  2. Step 2: Convert to fraction form
    20,099.64/30,137.94 = 7,773.24/x
  3. Step 3: Cross multiply
    20,099.64x = 30,137.94 × 7,773.24
  4. Step 4: Simplify right side
    20,099.64x = 234,269,440.73
  5. Step 5: Solve for x
    x = 234,269,440.73/20,099.64
  6. Step 6: Final answer
    x = 11,655.40

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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.