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Finding the Fourth Proportional to 13,977.37, 20,961.73 and 5,216.41

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Solution

The fourth proportional to 13,977.37, 20,961.73 and 5,216.41 is: 7,823.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977.37 : 20,961.73 = 5,216.41 : x
  2. Step 2: Convert to fraction form
    13,977.37/20,961.73 = 5,216.41/x
  3. Step 3: Cross multiply
    13,977.37x = 20,961.73 × 5,216.41
  4. Step 4: Simplify right side
    13,977.37x = 109,344,977.99
  5. Step 5: Solve for x
    x = 109,344,977.99/13,977.37
  6. Step 6: Final answer
    x = 7,823.00

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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.