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Finding the Fourth Proportional to 13,338.41, 20,008.74 and 3,977.82

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Solution

The fourth proportional to 13,338.41, 20,008.74 and 3,977.82 is: 5,967.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338.41 : 20,008.74 = 3,977.82 : x
  2. Step 2: Convert to fraction form
    13,338.41/20,008.74 = 3,977.82/x
  3. Step 3: Cross multiply
    13,338.41x = 20,008.74 × 3,977.82
  4. Step 4: Simplify right side
    13,338.41x = 79,591,166.15
  5. Step 5: Solve for x
    x = 79,591,166.15/13,338.41
  6. Step 6: Final answer
    x = 5,967.07

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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.