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Finding the Fourth Proportional to 13,731.66, 20,596.75 and 4,847.41

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Solution

The fourth proportional to 13,731.66, 20,596.75 and 4,847.41 is: 7,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.66 : 20,596.75 = 4,847.41 : x
  2. Step 2: Convert to fraction form
    13,731.66/20,596.75 = 4,847.41/x
  3. Step 3: Cross multiply
    13,731.66x = 20,596.75 × 4,847.41
  4. Step 4: Simplify right side
    13,731.66x = 99,840,905.54
  5. Step 5: Solve for x
    x = 99,840,905.54/13,731.66
  6. Step 6: Final answer
    x = 7,270.85

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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.