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Finding the Fourth Proportional to 20,732.77, 31,099 and 5,941.70

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Solution

The fourth proportional to 20,732.77, 31,099 and 5,941.70 is: 8,912.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,732.77 : 31,099 = 5,941.70 : x
  2. Step 2: Convert to fraction form
    20,732.77/31,099 = 5,941.70/x
  3. Step 3: Cross multiply
    20,732.77x = 31,099 × 5,941.70
  4. Step 4: Simplify right side
    20,732.77x = 184,780,928.30
  5. Step 5: Solve for x
    x = 184,780,928.30/20,732.77
  6. Step 6: Final answer
    x = 8,912.51

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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.