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Finding the Fourth Proportional to 20,732.90, 31,099.50 and 7,579.86

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Solution

The fourth proportional to 20,732.90, 31,099.50 and 7,579.86 is: 11,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,732.90 : 31,099.50 = 7,579.86 : x
  2. Step 2: Convert to fraction form
    20,732.90/31,099.50 = 7,579.86/x
  3. Step 3: Cross multiply
    20,732.90x = 31,099.50 × 7,579.86
  4. Step 4: Simplify right side
    20,732.90x = 235,729,856.07
  5. Step 5: Solve for x
    x = 235,729,856.07/20,732.90
  6. Step 6: Final answer
    x = 11,369.84

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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.